Search

Owing to enhanced features of nanomaterials, various applications of such materials have been suggested in the thermal systems, heat exchanges, electronic cooling systems, coolant processes, energy production etc. Following to such motivated applications, the objective of current analysis is to presents the bioconvective double stratification flow of Sutterby nanofluid due to bidirectional moving surface. The thermal interpretation of problem is subject to utilization of radiative effects, activation energy and heat source. The observations for heat, mass and microorganism's assessment are performed by using the convective boundary conditions. Shooting numerical simulations are performed for modeled problem. It is noticed that heat transfer enhances due to thermal stratification parameter. An increment in mass transfer is subject to larger values of mass stratification Biot number. The claimed results offer significance in controlling the heating and cooling processes, thermal devices, energy generation, manufacturing developments, solar systems etc.

In biotechnology and biosensors bioconvection along with microorganisms play a important role. This article communicates a theoretic numerical analysis concerning the bioconvective Sutterby nanofluid flow over a stretchable wedge surface. Bioconvection is a remarkable occurrence of undercurrents fluid that is produced owing to the turning of microbes. It is considered for hydrodynamics unsteadiness and forms classified in interruption of inclined swimming microbes. Bioconvection is perceived practically in many uses for example pharmaceutical products, bio sensing applications, biomedical, bio-micro systems, biotechnology advancements and refining of mathematical models. Additionally, unsteady parameter influences are taken into account. Furthermore, no mass flux as well as heat sink/source consequences are measured in existing analysis. The similarity transformation are established for the non-linear PDEs of microorganism's field, nanofluid concentration, energy, momentum and mass for bioconvection flow of Sutterby nanofluid. Then, altered non-linear ODEs are resolved by utilizing the bvp4c technique. Moreover, nanofluids are declining in thermal and concentration fields and the greater number of Peclet number declines the field of microorganisms. Acquired numerical data displays that temperature field of nanofluid increases for more thermophoretic and unsteady parameters.

Character of activation energy and nanofluids has a prominent significance in the field of oil reservoir, chemical engineering, geothermal engineering, heat exchanger, food processing, heat and mass transportation and cooling devices. The aim of current study is to present the mathematical modeling and numerical solutions of three dimensional flow of Sutterby nanofluid past a bidirectional moving surface under the influences of mixed convection, binary chemical reactions, viscous dissipation and activation energy. Boundary layer theory is abduced to model the physical problem in the form of partial differential equations. The obtained partial differential system is metamorphosed into ordinary differential system by operating appropriate conversion. Fehlberg Runge Kutta scheme is applied to derive the numerical simulations of reduced non-dimensional differential model. It is gripping to explore that fluid velocities f′(η) and g′(η) have opposite behavior due to the enrichment of Sutterby fluid parameter β₁. Additionally, higher approximation of chemical reaction parameter and activation energy parameter has reverse trends on nanoparticle concentration.

The main of this article is to analyze magnetohydrodynamic bioconvective flow of Sutterby nanoliquid. Gyrotactic microorganism in presence of chemical reaction is addressed. Thermophoretic, magnetic field, random motion heat generation and radiation are discussed. Furthermore, Dufour and Soret behaviors are taken into account. Thermal conduction augmentation performance is discussed by utilization Boungiorno's model. Nonlinear PDE's (partial differential equations) are changed to ordinary system through appropriate variables. To developed computational solutions, we used the ND-solve technique. Results for temperature, microorganism field, liquid flow, and concentration are exhibited through different emerging variables. The physical quantities like Nusselt number, microorganism density number and solutal transport rate for various sundry variables are presented. Summary of main results re highlighted in the conclusions. Velocity reduces against magnetic field, while reverse trend seen for buoyancy ratio variable. Thermal distribution has an enhancing trend for magnetic and radiation variables. An enhancement in concentration distribution is seen for Soret number.

Based on both the characteristics of shear thinning and shear thickening fluids, the Sutterby fluid has various applications in engineering and industrial fields. Due to the dual nature of the Sutterby fluid, the motive of the current study is to scrutinize the variable physical effects on the Sutterby nanofluid flow subject to shear thickening and shear thinning behavior over biaxially stretchable exponential and nonlinear sheets. The steady flow mechanism with the variable magnetic field, partial slip effects, and variable heat source/sink is examined over both stretchable sheets. The analysis of mass and heat transfer is carried out with the mutual impacts of thermophoresis and Brownian motion through the Buongiorno model. Suitable transformations for both exponential and nonlinear sheets are implemented on the problem's constitutive equations. As a result, the nonlinear setup of ordinary differential equations is acquired which is further numerically analyzed through the bvp4c technique in MATLAB. The graphical explanation of temperature, velocity, and concentration distributions exhibits that the exponential sheet provides more significant results as compared to the nonlinear sheet. Further, this study revealed that for the shear thickening behavior of Sutterby nanofluid, the increasing values of Deborah number increase the axial velocity.

Owing to enhanced thermal impact of nanomaterials, different applications are suggested in engineering and industrial systems like heat transfer devices, energy generation, extrusion processes, engine cooling, thermal systems, heat exchanger, chemical processes, manufacturing systems, hybrid-powered plants etc. The current communication concerns the optimized flow of Sutterby nanofluid due to stretched surface in view of different thermal sources. The investigation is supported with the applications of external heat source, magnetic force and radiative phenomenon. The irreversibility investigation is deliberated with implementation of thermodynamics second law. The thermophoresis and random movement characteristics are also studied. Additionally, first order binary reaction is also examined. The nonlinear system of the governing problem is obtained which are numerically computed by s method. The physical aspects of prominent flow parameters are attributed graphically. Further, the analysis for entropy generation and Bejan number is focused. It is observed that the velocity profile increases due to Reynolds number and Deborah number. Larger Schmidt number reduces the concentration distribution. Further, the entropy generation is improved against Reynolds number and Brinkman parameter.

The Darcy-Frochheimer flow scheme is important in industries where a higher stream rate impact is a prominent occurrence, for illustration in, petroleum engineering. In this article, we examine the influence of Cattaneo-Christov heat fluxing on the Darcy-Frochheimer flowing of Sutterby nanofluid via stretchable surface with chemical reactive and heat radiative impacts. The highest-order nonlinear partial differential equation is addressed by utilizing the similarity function and a new set of the ordinary differential equation is developed. The obtained equations are then numerically examined by using the bvp4c technique in MATLAB. The graphical behavior for numerous aspects, such as velocity, solutal, thermal, drag coefficient, and heat transport are illustrated for particular non-dimensional variables. Skin fraction and velocity curve decline with the higher valuation of the Frochheimer number. An augmentation in the thermal curve due to the heat source/sink parameter, but a reverse pattern is observed for the Nusselt number. The reverse pattern is observed for the thermal curve and solutal curve via a higher Brownian motion parameter. Compared with the existing research, the outcomes demonstrate excellent congruence.

In the recent years, rapid developments in nanotechnology have developed a great prospects for researchers to check up. Thermal performance of nanofluid is well scrutinized by global scientists. Keeping aforesaid pragmatism of nanofluids, we have considered Sutterby liquid under thermophoretic and Brownian movement's aspects. Radiation and stratification phenomenon for thermal analysis of Sutterby nanoliquid are considered. By invoking some appropriate transformations and boundary conditions the given partial differential equations are converted into coupled system of ODEs (ordinary differential equations). Then by using Bvp4c algorithm, we resolved these ODEs numerically. Graphs are designed to check the behavior of appropriate parameters on velocity, temperature, and concentration distribution. Consequences extracts that increase in Hartmann number decays the velocity profile whereas opposite behavior is accounted for temperature distribution. It is also observed that for larger values of thermal stratification phenomenon deteriorates the transportation rate of heat. Furthermore, Sutterby fluid model calculates the features of pseudoplastic plus dilatant solutions. This study is very suitable for extraordinary polymer resolutions plus polymer melts.

This research communicates the thermal assessment of Sutterby nanofluid containing the gyrotactic microorganisms with solutal and Marangoni boundaries. The applications of melting phenomenon and thermal conductivity are also considered. The flow is confined by a stretched cylinder. The prospective of Brownian motion and thermophoresis diffusions are also taken account via Buongiorno nanofluid model. The problem is formulated with help of governing relations and equations which are altered into dimensionless form via appropriate variables. The numerical scheme based on shooting scheme is employed to access the solution. A comparative analysis is performed to verify the approximated solution. The observations reveal that the velocity profile enhanced with the Marangoni number while a declining velocity profile has been observed with Sutterby nanofluid parameter and Darcy resistance parameter. The nanofluid temperature get rise with thermal conductivity parameter and thermal Biot number. An arising profile of nanofluid concentration is observed for concentration conductivity parameter and buoyancy ratio parameter.

In this study, the feature of stagnant Sutterby nanofluid towards a wedge surface is analyzed under the impact of a variable external magnetic field. Instead of the traditional Fourier law, the realistic Cattaneo-Christov principle is incorporated in the energy equation to scrutinize the heat flow pattern by utilizing the non-homogeneous two-phase nanofluid model. The constitutive flow rules are transfigured into a nonlinear differential system via feasible mathematical alterations. Methodologically, the bvp4c numerical procedure is employed properly to derive accurate numerical solutions for the present boundary flow problem. By varying the values of the involved parameters of the governing equations, the behaviors of temperature, velocity, and concentration profiles are described graphically and interpreted thoroughly. In this attempt, the major finding is that the magnetic field accelerates the motion and declines the temperature and concentration fields in the performance of suction and injection. Moreover, the nanofluid parameters upsurge the heat transfer mechanism and decline the mass transport and the effect of drag forces in both situations of wall-through flow (i.e., suction and injection effects). Furthermore, the nanofluid concentration profile decays due to the strengthening in the thermophoresis phenomenon. As a useful application, the magnetic function trend along with the thermophoresis diffusion on the nanofluid flow field may be exerted broadly in the field of aerosol technology.

Mechanism of pharmaceutical procedures, nuclear reactor cooling, pace technology, thermal insulation, crushing, geothermal reservoirs and enhanced oil recovery involving chemically reactive systems has a significance in mass transport. Additionally, nanofluids with swimming microorganisms have great significance in medicine, cancer therapy, micro fluidics devices and enzyme biosensor. Main focus of present communication is to analyze the impact of melting phenomena and nonlinear chemical reactions aspects on transient bioconvection flow of sutterby nanoliquid with gyrotactic microorganisms and heat source/sink. Additionally, activation energy and nonlinear radiations influences are invoked. Furthermore, a novel revised nanofluid model disclosed by Kuznetsov and Nield is applied to measure heat and mass transport. The basic PDEs embodying the conservation of microorganisms, nanoparticle concentration, energy, momentum and mass are persuaded into highly nonlinear coupled ODEs. Numerical solutions are executed via Runge-Kutta Fehlberg (RK45) scheme for the presence and absence of melting process. Comparative analysis with existing study are performed and reflected in excellent agreement. It is interesting to notice that microorganism field and nanoparticle concentration are depressed due to augmentation of reaction rate parameter for M=0.0 and M=0.5. It is also pointed out that heat transfer rate is better for the case M=0.5 when compared to the case.

The main objective of the recent article is to investigate the flow of Sutterby nanofluid with applied magnetic field and convective boundary aspects referred to as two coaxially rotating stretching disks. Nanofluids are a combination of simple fluids and small particles, the particles are evenly distributed in the base fluid and have impressive uses in thermal transport sources. Nanofluids play a significant role in enhancing the heat transfer coefficient in fluids via the suspension of nanomaterials in the base fluids. This study is specific to involve non-Newtonian base fluid namely the Sutterby model. In addition, non-uniform thermal conductivity, non-linear thermal radiation, and bioconvection of motile microorganism's characteristics are taken into consideration. Bioconvection is a process in which the motion of motile microorganisms is addressed which may be helpful to avoid the probable settling of nano entities. PDEs such as momentum, boundary conditions, temperature, volume fraction, and motile microorganism density are upgraded into a model of non-linear ordinary differential equations employing appropriate similarity transformation. Transmuted dimensionless ODEs are tackled with shooting techniques and outcomes of prominent physical parameters are attained with a built-in bvp4c solver via MATLAB (Lobatto-IIIa) computational software. Inspirations of interesting physical parameters against the velocity field, temperature field, the solutal field of species, and microorganisms' profile are elaborated and briefly investigated numerically and graphically. The flow speed becomes faster directly with mixed convection parameter but it retards against magnetic field parameter and bioconvection Rayleigh number. The fluid temperature enhances in direct response to the parameters of thermal conductivity, thermophoresis, temperature ratio, and Biot number.