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Current artifact aims to investigate attributes of nanofluidic transport mechanism developed for dynamics of Williamson liquid over an extendable cylinder with novel physical aspects of magnetic field. Additionally, Newtonian heating is accounted at cylinder surface and Reynold viscosity model is implemented to delineate the aspects of temperature dependent viscosity. Thermophoresis, Brownian motion, and variable viscosity effects have been studied for heat and mass transfer analysis. Formulation of problems characterized by governing physical laws is conceded in the form of dimensional partial differential setup by executing boundary layer approach. Conversion of attained differential system into ODE's is engrossed by capitalizing similarity transformations. Numerical procedures (Runge-Kutta and shooting) are implemented to resolve the problem and to attain solution. Effectiveness of sundry variables on associated distributions is revealed through graphical and tabular manner. Quantities of interest are also manipulated against the involved variables. Comparison of results to certify the numerical code is checked by making assessment with existing studies and found remarkable agreement. [ABSTRACT FROM AUTHOR]

The principal intention of the currently analysis is to investigate the impacts of the naturally convective nanofluid using a model of Carreau fluid with engine oil (C n H 2 n + 2) as the base fluid and Manganese Zinc Ferrite (M n Z n Fe 2 O 4) as the nanoparticle, the fluid flowing through a stretched cylinder in a fuzzy ambient. It examines the impact of assorted parameters, Weissenberg number (We) , Prandtl numeral (Pr) , Schmidt numeral (Sc) , and curvature (k) with magnetic field (B) and nanoparticle parameter, in order to manipulate an analogous conversion, the regulating equations of velocity, energy, and concentration profiles permute from a set of partial differential equations stand to ordinary differential equations. The present analysis focuses on the no slip assumption, which gives rise to a nonlinear Dirichlet boundary condition in axial velocity. The bvp5c approach was utilized to solve the resulting series of equations by the MATLAB. This is a highly effective approach with minimal computing expenditure. The volume quantity of nanoparticles in M n Z n Fe 2 O 4 is considered an uncertain parameter respect to TFNs (triangular fuzzy numbers) ranging [0, 0.5, 0.1]. Triangular membership function (TMF) is used to study the uncertainty variability while α − cut controls the TFNs. Fuzzy linear regression analysis makes use of TFNs to determine the middle (crisp), left, and right values of the fuzzy velocity profile. In comparison to the crisp velocity profile (mid value), the study's result and the fuzzy velocity profile have the maximum rate of flow. Tables and graphs are used to illustrate the outputs. [ABSTRACT FROM AUTHOR]

The current study reveals the impact of MHD heat transfer properties of an incompressible viscous fluid were numerically solved across a continuously expanding horizontal cylinder immersed in a porous material in the existence of internal heat production/sink. The partial differential equations which govern the fluid flow with boundary constraints were converted to a collection of non-linear ODE's with the aid of similarity variables and then numerically solved by using Keller-Box approach. The components of fluid velocity, temperature, as well as friction factor, and rate of heat transfer were all calculated numerically. Graphs and tables illustrate the fluid velocity and heat transfer properties for several Prandtl numbers, and magnetic parameters. The main goal of the current findings is to examine how the magnetic field M , Pr , and the heat absorption/generation factor Q influence the velocity and temperature gradients along a stretching cylinder. It is projected that the rise in the curvature parameter and the porosity factor would contribute to the enhancement of the temperature gradient in the boundary layer area around the cylinder. [ABSTRACT FROM AUTHOR]

Understanding fluid flow, heat, and mass transfer over a stretching cylinder is essential in ascertaining the quality of wire coating and coper thinning. This study looks at the influence of the heat source, thermal radiation, chemical reaction, and natural convection of Carreau fluid flows over a vertical stretching cylinder immersed in a porous medium. Suitable similarity variables are applied to convert the partial governing equations arising in fluid flows, heat, and mass transfer into ordinary differential equations. The optimal homotopy analysis method is then utilized to solve the transformed highly nonlinear governing equations. The impacts of the relevant parameters such as the Weissenberg number, porosity, heat source parameter, radiative number, chemical reaction parameter, mixed convection parameter, and curvature parameter on the dimensionless velocity, temperature, and concentration distribution as well as for the skin friction, Nusselt number, and Sherwood number are discussed through graphs and tables. It is observed that the velocity shows an opposite behavior as compared to temperature, and concentration in shear-thinning, n < 1 , and shear-thickening, n ≥ 1 , fluid for an increment of the Weissenberg number. Additionally, the thickness of the momentum, thermal, and concentration boundary layer is enhanced by the curvature of the cylinder. [ABSTRACT FROM AUTHOR]

This analysis reports an unsteady and incompressible flow of Williamson nanoliquid in presence of variable thermal characteristics are persuaded by a permeable stretching cylinder. The flow field investigation is established with the effect of mixed convection and non-uniform heat source/sink on flow and heat transfer. On the cylinder surface, the analysis is inspected with utilization of zero mass flux constraints. By using the appropriate similarity variables, the framed equations for the energy, momentum and mass is converted into non-linear ODEs. The numerical communication of the boundary value problem is successfully implemented using a computer algorithm programmed into the fifth Runge-Kutta scheme. Additionally, the wall shear factor and rate of heat transfer are calculated in two different cases namely, with curvature and without curvature. In addition, the results obtained are confirmed by making comparisons with previously published articles and we found an excellent match that guarantees the indemnity of current communication. A comprehensive change in velocity, temperature and concentration is examined for involved parameters like local Weissenberg number, space dependent heat source constant, magnetic number, curvature constant, thermophoretic parameter, buoyancy parameter, Brownian motion parameter, Prandtl number, Schmidt number, unsteadiness parameter, reaction rate parameter, activation energy parameter and temperature difference parameter. A reduction in velocity is observed for unsteady parameter and buoyancy constant. An enhanced nanofluid temperature is noted for space dependent heat source parameter, time dependent heat source parameter and unsteady parameter. Moreover, the nanofluid concentration is increases for temperature difference parameter while reverse observations are noticed for chemical reaction rate. [ABSTRACT FROM AUTHOR]

Here we scrutinize magnetohydrodynamic mixed convection flow of viscous nanoliquid by a stretching cylinder. Heat flux, Joule heating and dissipation effect are examined in heat equation. Thermophoresis and Brownian diffusion behaviors are accounted. Entropy generation investigation is addressed. A first order chemical reaction is also accounted. Nonlinear PDEs are converted to ordinary differential system employing similarity variables. To develop a convergent solution we implemented ND-solve method. Variation of various sundry variables on Bejan number, velocity, entropy rate, concentration and temperature are graphically deliberated. Variation of various influential variables on Nusselt and Sherwood numbers are graphically examined. Larger slip parameter reduces the velocity field. Temperature is improved against the larger radiation variable. Concentration has a reverse trend against thermophoresis and Brownian motion variables. Radiation and magnetic variables have similar behavior on entropy optimization. Bejan number is reduced versus larger Brinkman number. [ABSTRACT FROM AUTHOR]

In the present study, Carreau fluid model over a stretching cylinder is considered. The boundary layer approximation is incorporated in order to solve the mathematical model. The formulation has been constructed and then by employing similarity transformations, the boundary layer equations are rehabilitated into self-similar form. The simplified nonlinear boundary value problem is solved numerically with Keller box and shooting method. The interesting findings for essential parameters are examined through graphs and tables. In each graph and table comparison has been made through Keller box and shooting method. It was found that both solutions are in excellent agreement. Computations are performed for different values of Weissenberg number We, curvature parameter K and power law index n. The results show that velocity profile increases for large values of Weissenberg number We (n > 1) and curvature parameter K while opposite behavior is noticed in the case of skin friction coefficient. [ABSTRACT FROM AUTHOR]

Abstract The effect of nanofluid and thermal radiation on MHD Williamson fluid over a stretching cylinder in the presence of convective boundary conditions is analyzed. The variable thermal conductivity is considered during the formulation of energy equation. Nonlinear ordinary differential equations are attained by proposing relevant similarity transformations on partial differential equations. These non-dimensional ordinary differential equations are then converted to the system of first order ODEs and solved numerically by shooting method. Results are further compared by using bvp 4 c , a MATLAB built-in function. The results obtained from MATLAB codes are compared with previously published results of the same nature in limiting case. Numerical results of skin-friction coefficient, local Nusselt and Sherwood numbers are systematized in the form of tables. The effect of prominent parameters on velocity, temperature and concentration is displayed by using graphs. It is observed that velocity profile diminishes for the higher values of Weissenberg number but a reverse relation is noticed for the temperature profile. [ABSTRACT FROM AUTHOR]

Abstract In current article theoretical analysis is executed to examine flow features of Carreau fluid by conferring scintillating aspects of thermal stratification. Flow field equations are attained by incorporating infinite shear rate viscosity and magnetic field effects. Afterwards, the partial differential obtained from the fundamental laws of continuity, momentum and energy containing stratification aspects are attained. These consequent partial differential expressions are so intricate that it seems difficult to solve analytically. Therefore Prandtl layer approximation is capitalized to retain efficient parts of flow narrating differential equations. Then next step is to eradicate the in active parts of partial equations by implementing transformations. The solution structured of reduced system is acquired by self-coded shooting algorithm. The variation in physical profiles with respect to involved parameters is exhibited with the aid of graphs and tables. It is inferred that Carreau fluid behaves in opposite pattern for n > 1 (shear thickening) and n < 1 (shear thinning) liquid. It is also depicted that thermal stratification delineates the thermal distribution of fluid flow. [ABSTRACT FROM AUTHOR]

Nanofluids retain noteworthy structure that have absorbed attentions of numerous investigators because of their exploration in nanotechnology and nanoscience. In this scrutiny a mathematical computation of 2D flows of Maxwell nanoliquid influenced by a stretched cylinder has been established. The heat transfer structure is conceded out in the manifestation of thermal radiation and heat source/sink. Moreover, the nanoparticles mass flux condition is engaged in this exploration. This newly endorsed tactic is more realistic where the conjecture is made that the nanoparticle flux is zero and nanoparticle fraction regulates itself on the restrictions consequently. By utilizing apposite conversion the governing PDEs are transformed into ODEs and then tackled analytically via HAM. The attained outcomes are plotted and deliberated in aspect for somatic parameters. It is remarked that with an intensification in the Deborah number β diminish the liquid temperature while it boosts for radiation parameter R d . Furthermore, the concentration of Maxwell liquid has conflicting impact for Brownian motion N b and thermophoresis parameters N t . [ABSTRACT FROM AUTHOR]

A Comprehensive study on laminar, magnetohydrodynamic (MHD) boundary layer flow of nanofluid (water + Silver, water + Graphene) embedded with conducting micrometer sized dust particles over a stretching cylinder with the incorporation of Cattaneo-Christov heat flux model is conducted. Appropriate similarity variables are employed to the flow governing equations and the resulting ordinary differential equations are solved by employing Runge-Kutta-Fehlberg method. The results for varied controlling parameters for both dusty nano fluid and dust phase are shown through graphs, table and discussed in detail. Authentication of the obtained results is provided by comparing with published results. Results indicate that Graphene + water dusty nanofluid shows better heat transfer performance compared with Silver + water dusty nanofluid. Improvement in thermal relaxation boosts temperature distribution in both fluid and dust phase. [ABSTRACT FROM AUTHOR]

The current analysis concentrates on the numerical solution of MHD Carreau fluid flow over a stretching cylinder under the influences of homogeneous-heterogeneous reactions. Modelled non-linear partial differential equations are converted into ordinary differential equations by using suitable transformations. The resulting system of equations is solved with the aid of shooting algorithm supported by fifth order Runge-Kutta integration scheme. The impact of non-dimensional governing parameters on the velocity, temperature, skin friction coefficient and local Nusselt number are comprehensively delineated with the help of graphs and tables. [ABSTRACT FROM AUTHOR]

In this paper, the steady, two-dimensional, heat and mass transfer of a mixed convection magneto-micropolar fluid flow over a non-permeable linearly stretching cylinder embedded in a porous medium in the presence of thermal radiation and first order chemical reaction with convective boundary condition is investigated. Using similarity transformations, the governing boundary layer equations are transformed into a system of nonlinear ordinary differential equations which are solved numerically using the finite element method. Graphical variations of the velocity, micro-rotation, temperature and concentration functions across the boundary layer are presented to depict the influence of the controlling parameters. Numerical data for the skin friction, couple stress, rate of heat and mass transfer have also been tabulated for various values of the thermophysical parameters. A comparison of the present results with earlier studies shows excellent agreement, thereby demonstrating the accuracy of the present numerical code. The study finds applications in chemical reaction engineering processes, magnetic materials processing, solar collector energy systems, etc. [ABSTRACT FROM AUTHOR]

In this article magnetohydrodynamic Carreau fluid flow towards stretching cylinder is considered in the presence of homogeneous-heterogeneous reactions effect. The flow model is structured by utilizing theoretical grounds. For the numerical solution a shooting method along with Runge-Kutta algorithm is executed. The outcomes are provided through graphs. It is observed that the Carreau fluid concentration shows decline values via positive iterations of homogeneous-heterogeneous reaction parameters towards both shear thinning and thickening case. The present work is certified through comparison with already existing literature in a limiting sense. [ABSTRACT FROM AUTHOR]

Investigation of heat transfer effect on Cu-water nanofluid flow past a stretching cylinder is focused in the recent article. The numerical method of nonlinear known as RKF 4–5th has been taken into account along with shooting process to obtain the solution of required ODEs with supplementary boundary conditions. The influence of thermal radiation parameter on non-dimensional skin friction and Nusselt number along with convection parameter, solid particle volume fraction and heat generation/absorption parameter are represented in the tabular and graphical way. The volume fraction of nanofluid is considered as 0–6% with an increment of 2%. The thermal radiation parameter lies in the domain of [ 0.3 , 5 ] . Moreover, the values of porosity parameter ( λ ) and heat generation/absorption parameter ( Q ) are varied as 0.5 ⩽ λ ⩽ 2.5 and - 2 ⩽ Q ⩽ 2 , respectively. The data of authors declared that augmentation is perceived in temperature curves with the volume fraction of solid particles; moreover, momentum boundary layer depreciates with boost in volume fraction parameter of copper (Cu) particles. The obtained data are distinguished with earlier study and admirable agreement has been noted. [ABSTRACT FROM AUTHOR]

The purpose of the present work is to examine the collective influence of thermal radiation and convection flow of Cu-water nanofluid due to a stretching cylinder in a porous medium along with viscous dissipation and slip boundary conditions. The governing non-linear ODEs and auxiliary boundary conditions those obtained by applying assisting similarity transformations have been handled numerically with shooting scheme through Runge-Kutta-integration procedure of fourth-fifth order. The non-dimensional velocity and temperature distribution are designed and also skin friction coefficient as well as heat transfer rate are tabulated for various values of relatable parameters. The results explain that Nusselt number depreciates with boost in radiation parameter, thermal slip parameter and Eckert number. Moreover, it is accelerated with increase in velocity slip parameter and natural convection parameter. The results are distinguished via published ones and excellent accord has been detected. [ABSTRACT FROM AUTHOR]

An analysis is executed to study the influence of heat generation/absorption on tangent hyperbolic nanofluid near the stagnation point over a stretching cylinder. In this study the developed model of a tangent hyperbolic nanofluid in boundary layer flow with Brownian motion and thermophoresis effects are discussed. The governing partial differential equations in terms of continuity, momentum, temperature and concentration are rehabilitated into ordinary differential form and then solved numerically using shooting method. The results specify that the addition of nanoparticles into the tangent hyperbolic fluid yields an increment in the skin friction coefficient and the heat transfer rate at the surface. Comparison of the present results with previously published literature is specified and found in good agreement. It is noticed that velocity profile reduces by enhancing Weissenberg number λ and power law index n . The skin friction coefficient, local Nusselt number and local Sherwood number enhances for large values of stretching ratio parameter A . [ABSTRACT FROM AUTHOR]

This paper investigates the momentum and heat transfer, MHD mixed convection flow of Sisko fluid near the axisymmetric stagnation point towards a stretching cylinder. Suitable similarity variables are selected to transmute dimensional nonlinear system into non-dimensional nonlinear system. Large mesh size and high tolerance error is considered for the convergence analysis of the numerical scheme. Graphical evaluation is displayed in order to interrogate the intrinsic behavior of responsible parameters on concerning profiles. For better description of fluid flow numerical variation in local skin friction coefficient and local Nusselt number is scrutinized through graphs and tables. Appreciable growth is found in temperature profile whereas a decrease in velocity profile is noticed when the Hartmann number is augmented. Mixed convection and velocity ratio parameters serve to enhance the rate of heat transfer from the surface. Comparison of present work in a limiting case with data available in the literature has been made for the verification of the model. [ABSTRACT FROM AUTHOR]

Main emphasis of present research is to introduce the novel concept of Newtonian flux condition in MHD stretching flow of Jeffrey liquid. Flow is generated due to stretching of a permeable cylinder. Phenomena of heat and mass transfer is based through involvement of thermal-diffusion and diffusion-thermo aspects. Suitable variables are employed for conversion of partial differential frameworks into a sets of ordinary differential expressions. Analytic solutions are constructed through homotopic procedure. Salient impacts of distinct variables are reported graphically. Temperature and concentration are improved within frame of thermal/solutal conjugate variables. [ABSTRACT FROM AUTHOR]

Here the Newtonian heating characteristics in MHD flow of Casson liquid induced by stretched cylinder moving with linear velocity is addressed. Consideration of dissipation and Joule heating characterizes the process of heat transfer. Applied electric and induced magnetic fields are not considered. Magnetic Reynolds number is low. The convenient transformation yields nonlinear problems which are solved for the convergent solutions. Convergence region is determined for the acquired solutions. Parameters highlighting for velocity and temperature are graphyically discussed. Numerical values of skin friction and Nusselt number are also presented in the tabular form. Present analysis reveals that velocity and thermal fields have reverse behavior for larger Hartman number. Moreover curvature parameter has similar influence on the velocity, temperature, skin friction and Nusselt number. [ABSTRACT FROM AUTHOR]

This article characterizes the influence of magnetic dipole in a non-Newtonian ferrofluid. The flow is caused by an incompressible stretchable cylinder. The effects of homogeneous and heterogeneous reactions are taken into account. Heat flux is evaluated by the Fourier’s law of heat conduction. Characteristics of pertinent parameters on magneto-thermomechanical coupling and chemical reactions are explored numerically. It is depicted that the magneto-thermomechanical interaction slows down the motion of fluid particles, thereby increases skin friction and decreasing rate of heat transfer at the surface of a cylinder. Comparison with available results for some cases is found good agreements. [ABSTRACT FROM AUTHOR]

An analysis has been executed to investigate the generalized slip effects on MHD Carreau nanofluid induced by a linear stretching cylinder in the presence of reactive species. Adequate transformations are used to rehabilitate the system of partial differential equations into system of non-linear ordinary differential equations. Similarity equations are then solved numerically by using an implicit finite difference scheme known as Keller box method. The interesting findings for various crucial parameters on dimensionless velocity, temperature and concentration profiles are demonstrated through graphs. Plots and tables reflecting the impact on skin friction coefficient, local Nusselt number and local Sherwood number are presented and explored. Comparison has been validated with the prior published results and found to be in commendable agreement. [ABSTRACT FROM AUTHOR]

Present communication presents numerical investigation of magnetohydrodynamic Sisko fluid flow over linearly stretching cylinder along with combined effects of temperature depending thermal conductivity and viscous dissipation. The arising set of flow govern equations are simplified under usual boundary layer assumptions. A set of variable similarity transforms are employed to shift the governing partial differential equations into ordinary differential equations. The solution of attained highly nonlinear simultaneous equations is computed by an efficient technique (shooting method). Numerical computations are accomplished and interesting aspects of flow velocity and temperature are visualized via graphs for different parametric conditions. A comprehensive discussion is presented to reveal the influence of flow parameters on wall shear stress and local Nusselt number via figures and tables.Furthermore, it is observed that magnetic field provides noticeable resistance to the fluid motion while both material parameter and curvature accelerates it. The progressing values of both Eckert number and thermal conductivity parameter have qualitively same effects i.e. they rise the temperature. Additionally, material parameter and curvature parameter increase the coefficient of skin friction absolutely and qualitively similar effects are noticed for Nusselt number against variations in Prandtl number and curvature parameter. On the other hand local Nusselt diminishes for larger values of Eckert number and power law index. The present results are compared with existing literature via tables, they have good covenant with previous results. [ABSTRACT FROM AUTHOR]

The present investigation consists of an analytical treatment of a steady boundary layer flow of a Walter’s B fluid due to a stretching cylinder with temperature dependent variable viscosity. The heat transfer analysis is also considered. With the help of usual similarity transformations the governing equations have been transformed into nonlinear ordinary differential equations and are solved by a powerful technique homotopy analysis method. Two models of variable viscosity, namely, Reynolds and Vogel’s models are taken into account. The convergence is checked by plotting h -curves. The emerging parameters are discussed through graphs. [ABSTRACT FROM AUTHOR]

The aim of this paper is to figure out the flow and heat problem of two dimensional steady axisymmetric laminar mixed-convection boundary-layer flow of Sisko fluid model along a stretching cylinder in a thermally stratified medium. The similarity transformations are used to reduce coupled partial differential equations to ordinary differential equations. To solve these equations, a numerical approach called shooting method has been used for the computation of different physical parameters of velocity and temperature field, respectively. The dependence of skin friction and Nusselt number has been analyzed in details in tables. [ABSTRACT FROM AUTHOR]

This article is concerned with the two-dimensional flow of Powell–Eyring fluid with variable thermal conductivity. The flow is caused due to a stretching cylinder. Temperature dependent thermal conductivity is considered. Both numerical and analytic solutions are obtained and compared. Analytic solution is found by homotopy analysis method. Numerical solution by shooting technique is presented. Discussion to different physical parameters for the velocity and temperature is assigned. It is observed that the velocity profile enhances for larger magnetic parameter. It is also further noted that for increasing the value of Prandtl number temperature profile decreases. [ABSTRACT FROM AUTHOR]

Steady, transverse boundary layer flow and heat transfer caused by an exponentially stretching cylinder of constant radius immersed in an uniform flow of an incompressible, viscous nanoliquid are considered in the present study. The paper discusses a systematic procedure of obtaining a local similarity transformation that reduces the governing partial differential equations into ordinary differential equations. Power series solution is then obtained for velocity, temperature and nanoparticle concentration distributions using the uni-variate differential transform method. Help is sought from Domb-Sykes plots in making a decision on the minimum number of terms required in the power series expansion to ensure convergence. Radius of convergence is quite naturally suggested by these plots. Pad ´ e approximants are then appropriately decided upon to increase the radius of convergence. The algorithm used succeeds in capturing boundary effects, free stream flow effects and nanoparticle effects on flow and heat transfer. An important finding of the paper is the prediction of accelerated cooling of the stretching cylinder due to the nanoparticles in the cooling liquid. In having a desirable property for the extruding cylinder nanoliquid coolant seems an attractive proposition. [ABSTRACT FROM AUTHOR]

This study is dedicated to analyze the combined effects of partial slip and prescribed surface heat flux when the fluid is moving due to stretching cylinder. A very moderate and powerful technique Chebyshev Spectral Newton Iterative Scheme is used to determine the solution of the present mathematical model. Involved physical parameters, namely the slip parameter, Casson fluid parameter, curvature parameter and Prandtl number are utilized to control the fluid moments and temperature distribution. The results show that the fluid velocity and the skin friction coefficient on the stretching cylinder are strongly influenced by the slip parameter. It is further analyzed that hydrodynamic boundary layer decreases and thermal boundary layer increases with the slip parameter. Influence of Casson fluid parameter on temperature profile provides the opposite behavior as compared to the slip parameter . The comparison of numerical values of skin friction coefficient and the local Nusselt number is made with the results available in the literature. The accuracy and convergence of Chebyshev Spectral Newton Iterative Scheme is compared with finite difference scheme (Keller box method) through tables. The CPU time is calculated for both schemes. It is observed that CSNIS is efficient, less time consuming, stable and rapid convergent. [ABSTRACT FROM AUTHOR]

This work is focused on the analytic solution of steady boundary layer axisymmetric flow of third-grade fluid over a continuously stretching cylinder in the presence of magnetic field. Suitable transformations are considered to reduce the partial differential equation into the ordinary differential equation. The obtained non-linear differential system is solved by homotopy analysis method (HAM). The effects of the emerging parameters such as third-grade parameter, second-grade parameters and Reynolds number on the velocity are displayed and discussed. The expression of skin-friction coefficient is computed and presented. It is found that velocity and momentum boundary layer thickness are increasing functions of curvature parameter. Velocity profile is higher for third-grade fluid when compared with Newtonian and second-grade fluids with and without MHD effects for the cases (i) stretching cylinder and (ii) flat plate. [ABSTRACT FROM AUTHOR]

Highlights: [•] Magnetohydrodynamic flow and heat transfer over a stretching cylinder are considered. [•] Entropy effects are investigated through graphs. [•] Results are compared with a previous study to validate our solution technique. [•] Magnetic field causes the entropy production rate to increase. [•] Viscous effects are also responsible for entropy production. [ABSTRACT FROM AUTHOR]

Abstract: The aim of this paper is to present an analysis for the axi-symmetric laminar boundary layer flow of a viscous incompressible fluid and heat transfer towards a stretching cylinder under the influence of a uniform magnetic field. Instead of no-slip conditions at the boundary, partial slip is considered. The partial differential equations corresponding to the momentum and heat equations are converted into highly non-linear ordinary differential equations with the help of similarity transformations. Analytical solutions for some special cases are obtained. Numerical solutions of these equations are obtained by shooting method. It is found that the velocity decreases with increasing velocity slip parameter and magnetic parameter. The skin friction as well as the heat transfer rate at the surface is larger for a cylinder compared to a flat plate. [Copyright &y& Elsevier]

This research article is aimed to investigate the behavior of 3D flow of nanofluid comprising of copper and aluminium oxide nanoparticles i.e. the importance of the solid particle to increase the thermal conductivity of nanofluid. The results confirm a high uptake of Cu-water nanofluid and Al 2 O 3 -water nanofluid compared to no, or low, uptake of the soluble nanomaterial. This article addresses incompressible viscous Cu-water and Al 2 O 3 -water nanofluid flow along a stretching cylinder. Influence of homogeneous and heterogeneous reactions are examined for the nanofluid. An encounter of entropy generation is also taken into account. The entire phenomena is considered for water as base fluid comprising nanoparticles (Copper and Aluminium Oxide). The equations obtained concerning the flow are being transformed using suitable transformations. The results are being evaluated numerically for the obtained equations. Graphical behavior of velocity, temperature, concentration and entropy generation is analyzed to perceive effect of diverse parameters. It is found that the larger values of curvature parameter and nanoparticle volume fraction enhances the velocity profile while the temperature profile decreases. The concentration at the surface decrease with the strength of the heterogeneous reaction parameter while show opposite trend for homogeneous reaction and Schmidt number. Entropy generation shows an enhancing trend for the curvature parameter, Eckert and Prandtl number while contradictory trend for temperature difference ratio parameter. Skin friction and Nusselt number are being examined through numerical values obtained. [ABSTRACT FROM AUTHOR]

The effect of thermal radiation and suction/injection on heat transfer characteristics of an unsteady expandable-stretched horizontal cylinder has been investigated. Similarity equations are obtained through the application of similarity transformation techniques. The governing boundary layer equations are reduced to a system of ordinary differential equations. Mathematica has been used to solve such system after obtaining the missed initial conditions. The fluid velocity and temperature, within the boundary layer, are plotted and discussed in details for various values of the different parameters such as the thermal radiation parameter, suction/injection parameter, and unsteadiness parameter. Comparison of obtained numerical results is made with previously published results in some special cases and found to be in a good agreement. The obtained results show that the fluid velocity and temperature are affected by the variation of the parameters included in the study such as the radiation parameter, the unsteadiness parameter, and the suction/injection parameter. [ABSTRACT FROM AUTHOR]