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The analysis focuses on investigating the phenomenon of double-diffusive convection using the Sisko nanofluid model. It particularly highlights the impact of induced magnetic flux, viscous dissipation, and heat radiation within an asymmetric geometry having multiple slip conditions. To ascertain the salient of the Brownian diffusion coefficient and thermophoresis, we have incorporated viscous dissipation, heat radiation, and the Buongiorno model. The Soret and Dufour parameters describe the convective double diffusion phenomenon. The mathematical formulation is constructed through equations governing magnetic force function, concentration, temperature, momentum, and continuity. These formulations yield nonlinear partial differential equations to explain the designated flow. To simplify the nonlinear partial differential equations, the lubrication paradigm of mathematical simulations is employed. The subsequent system of coupled nonlinear differential equations is calculated numerically through the NDSolve function, which is a built-in program of Mathematica. Numerical results and graphs give evidence that supports the significance of different flow quantities in physiological contexts. The findings from this investigation are anticipated to contribute to the development of intelligent magneto-peristaltic pumps, particularly in thermal and drug administration applications. The current investigation suggests that the distribution of temperature reduces as the coefficient of radiation increases due to a system’s high heat emission and consequent effects of cooling. Furthermore, the increased influence of heat radiation raises the concentration profile. It is also highlighted that heat radiation has the potential to raise a fluid’s temperature, which raises the volume fraction of nanoparticles.

The mathematical modeling of biological fluids holds paramount importance, given its diverse applications in the medical field. Understanding the peristaltic mechanism is crucial for gaining insights into various biological flows. This study focuses on numerically estimating the double-diffusive peristaltic flow of a non-Newtonian six constant Jefferys nanofluid within an irregular medium. The investigation considers the influences of nonlinear thermal emission, viscous dissolution, and induced magnetization, incorporating multiple slip conditions. The Buongiorno model is employed to underscore key features related to thermophoresis and Brownian diffusion coefficients. The convection of double diffusivity is elucidated through the Soret and Dufour variables. Lubrication technique is employed for mathematical simulation, and the resulting nonlinear coupled system of differential equations is solved numerically through the Mathematica program's built-in command (ND Solve function). The graphical representation of the impact of crucial flow variables, such as nanoparticle volume proportion, pressure gradient, solute density, temperature, pressure fluctuation per wavelength, and velocity distribution, provides valuable insight. The findings of the current study show that an increase in the Prandtl number and thermophoresis parameter leads to the expansion of thermal curves. Moreover, it is also noted that rising heat frequencies of radiation cause the concentration of nanoparticles to increase. [ABSTRACT FROM AUTHOR]

The application of mathematical modeling to biological fluids is of utmost importance, as it has diverse applications in medicine. The peristaltic mechanism plays a crucial role in understanding numerous biological flows. In this paper, we present a theoretical investigation of the double diffusion convection in the peristaltic transport of a Prandtl nanofluid through an asymmetric tapered channel under the combined action of thermal radiation and an induced magnetic field. The equations for the current flow scenario are developed, incorporating relevant assumptions, and considering the effect of viscous dissipation. The impact of thermal radiation and double diffusion on public health is of particular interest. For instance, infrared radiation techniques have been used to treat various skin-related diseases and can also be employed as a measure of thermotherapy for some bones to enhance blood circulation, with radiation increasing blood flow by approximately 80%. To solve the governing equations, we employ a numerical method with the aid of symbolic software such as Mathematica and MATLAB. The velocity, magnetic force function, pressure rise, temperature, solute (species) concentration, and nanoparticle volume fraction profiles are analytically derived and graphically displayed. The results outcomes are compared with the findings of limiting situations for verification. [ABSTRACT FROM AUTHOR]

AbstractThe main objective of this framework is to formulate a model and carry out simulations on the thermally radiative biological fluid of Sisko nanofluid in the non-uniform channel under the combined effects of induced magnetic field and double diffusion convection. Additionally, the effect of viscous dissipation is also considered. The formulation and simplification of the governing equations for a non-Newtonian fluid with nanoparticles and double diffusion convection is done under the assumption of a long wavelength and low Reynolds number. The numerical solution of the proposed problem is calculated by utilizing built in commands in Matlab and Mathematica software’s. The equation solving is done in Mathematica using the integrated program NDSolve. The framework provides expressions for temperature, nanoparticle fraction, velocity, pressure rise, stream functions, pressure gradient, magnetic force function, and concentration. The impact of relevant parameters on various physical quantities is then analyzed through graphical representations, considering both non-Newtonian and viscous fluid behavior. The present analysis suggests that an increase in heat radiation may cause a drop in the temperature distribution strengthening the cooling effects. It is also found that as Brinkman number rise, buoyancy-driven flows have a greater impact on fluid motion. The concentration of nanoparticles may fluctuate and maybe decrease in specific locations in accordance with the dispersion and advection phenomena. Furthermore, this finding has important ramifications for the field of biomechanics too. Examples include comprehending chyme movements in the digestive system and the prospective use in operations to regulate blood flow by adjusting the magnetic field’s strength. [ABSTRACT FROM AUTHOR]

Consequence of thermal and concentration convection on peristaltic pumping of hyperbolic tangent nanofluid in a non‐uniform channel and induced magnetic field is discussed in this article. The brief mathematical modeling, along with induced magnetic field, of hyperbolic tangent nanofluid is given. The governing equations are reduced to dimensionless form by using appropriate transformations. Exact solutions are calculated for temperature, nanoparticle volume fraction, and concentration. Numerical technique is manipulated to solve the highly non‐linear differential equations. The roll of different variables is graphically analyzed in terms of concentration, temperature, volume fraction of nanoparticles, axial induced magnetic field, magnetic force function, stream functions, pressure rise, and pressure gradient. [ABSTRACT FROM AUTHOR]

The present work has mathematically modeled the peristaltic flow in nanofluid by using thermal radiation, induced a magnetic field, double-diffusive convection, and slip boundary conditions in an asymmetric channel. Peristalsis propagates the flow in an asymmetric channel. Using the linear mathematical link, the rheological equations are translated from fixed to wave frames. Next, the rheological equations are converted to nondimensional forms with the help of dimensionless variables. Further, the flow evaluation is determined under two scientific assumptions: a finite Reynolds number and a long wavelength. Mathematica software is used to solve the numerical value of rheological equations. Lastly, the impact of prominent hydromechanical parameters on trapping, velocity, concentration, magnetic force function, nanoparticle volume fraction, temperature, pressure gradient, and pressure rise are evaluated graphically. [ABSTRACT FROM AUTHOR]

The aim of this work is to relate the Soret and Dufour parameters of peristaltic flow in magneto Oldroyd 4-constant nanofluids in non-uniform channel. The discussion explores the numerical modelling of Oldroyd 4-constant nanofluids with convective double diffusion under induced magnetic flux. The use of a low finite Reynolds number and a long wavelength simplify non-linear partial differential equations. Numerical method is applied to solve reduced differential equation. Furthermore, the exact solutions of nanoparticle, temperature and concentration are computed. The graphical and numerical presentation show the significance of different physical parameters. The results reveal the fact that the greater value of Soret number and Brownian motion parameter decreases the concentration nanosolid particle. In addition, molecular kinetic energy transforms into thermal energy by random collision in the process of micro-mixing of nanoliquid resultantly raise the temperature of the liquid. Moreover, the magnetic force function increases due to enhancing electric field and magnetic Reynolds number. [ABSTRACT FROM AUTHOR]

The peristaltic propulsion of a Johnson–Segalman nanofluid under the dependency of a double-diffusion convection and induced magnetic field was investigated in this study. On the premise of continuity, linear momentum, solute concentration, thermal energy, and nanoparticle concentration, a flow issue was proposed. The lubrication methodology was used to carry out mathematical modelling. Numerical techniques were used to solve the corresponding highly nonlinear partial differential equations. The exact solution of concentration, temperature, and nanoparticle were computed. The manifestations of all relevant constraints were theoretically and graphically evaluated. The current study develops a theoretical model that can predict how various parameters affect the characteristics of blood-like fluid flows. [ABSTRACT FROM AUTHOR]

The effects of induced magnetic field, thermal and concentration convection on the peristaltic flow of Prandtl nanofluids are explored in this study in an inclined asymmetric channel. A detailed mathematical explanation is given for Prandtl nanofluids with double-diffusivity convection and induced magnetic field. To simplify non-linear partial differential equations, the long wavelength and low approximation of the Reynolds number are used. Using numerical technique, the non-linear differential equations are solved. Exact solutions of thermal and concentration are calculated. The impact of the various physical parameters of flow quantities is shown in graphical results. [ABSTRACT FROM AUTHOR]

The consequences of double-diffusivity convection on the peristaltic transport of Sisko nanofluids in the non-uniform inclined channel and induced magnetic field are discussed in this article. The mathematical modeling of Sisko nanofluids with induced magnetic field and double-diffusivity convection is given. To simplify PDEs that are highly nonlinear in nature, the low but finite Reynolds number, and long wavelength estimation are used. The Numerical solution is calculated for the non-linear PDEs. The exact solution of concentration, temperature and nanoparticle are obtained. The effect of various physical parameters of flow quantities is shown in numerical and graphical data. The outcomes show that as the thermophoresis and Dufour parameters are raised, the profiles of temperature, concentration, and nanoparticle fraction all significantly increase. [ABSTRACT FROM AUTHOR]

Mathematical simulation of biological fluids is incredibly significant due to its use in many fields of medicine. Understanding various biological flows requires knowledge of the peristaltic process. Furthermore, nanoparticles play vital roles in several engineering and industrial procedures, including those related to heat exchangers, boilers, cooling systems, chemical engineering, MEMS, cool automobile engines, and laser diode arrays. The major goal of this study is to investigate the mathematical simulation of biological fluids, which holds significant implications in the field of biomechanics. Examples include the understanding of chyme motion in the gastrointestinal tract and the potential application in surgeries to control blood flow by manipulating the intensity of the magnetic field. The present analysis is to explore the peristaltic flow with double diffusion convection of magnetohydrodynamic Prandtl nanofluids in non-uniform channel having thermal radiation and viscous dissipation. The mathematical model is based on equations for continuity, temperature, nanoparticle fraction, momentum, induction, and concentration. The method of long wavelength and low Reynolds number is utilized. The numerical solution for concentration, pressure gradient, nanoparticle volume fraction, stream function, magnetic force function, pressure rise, velocity, and temperature are computed. Then the results of different parameters are represented graphically. The results outcomes are compared with the findings of limiting situations for verification. The main result of the present study is that the fraction of nanoparticles decreases with a rising significance of Dufour and Prandtl numbers because the effects of mass transfer are minimized by the effects of heat transmission. Moreover, a rise in the Dufour number boosts the fluid's temperature because heat is transmitted across boundaries more efficiently. [ABSTRACT FROM AUTHOR]

• Constitutive relation for Ellis fluid is employed. • Induced magnetic field is taken into account. • Nanofluid model consists of Brownian motion and thermophoresis. • Non-unifrom channel is assumed for flow analysis. The present research explores the wave of peristalsis on magneto Ellis nanofluids within non-uniform channel by using Dufour and Soret parameters. The mathematical representation of the magneto Ellis nanofluids having double diffusion convection under magnetic flux is presented in detail. The nonlinear partial differential equations are simplified by applying long wavelength and lesser Reynolds number. The resultant differential equations are further simplified numerically, and exact solutions of concentration, temperature, and nanoparticle fraction are computed. Further, the significance of numerous material constraints of flow quantities is depicted through graphs. It is revealed that the huge value of Brownian motion and Soret number decreases the concentration of nanosolid particle. Solid nanoparticles in a nanofluid during micro-mixing procedure collide randomly hence transferring the molecular energy into thermal energy that triggers the rise in temperature. [ABSTRACT FROM AUTHOR]

Abstract: In this paper the effects of induced magnetic field on the peristaltic transport of a Williamson fluid model in an asymmetric channel has been investigated. The problem is simplified by using long wave length and low Reynolds number approximations. The perturbation and numerical solutions have been presented. The expressions for pressure rise, pressure gradient, stream function, magnetic force function, current density distribution have been computed. The results of pertinent parameters have been discussed graphically. The trapping phenomena for different wave forms have been also discussed. [Copyright &y& Elsevier]

Abstract: We discuss the peristaltic motion of a two dimensional Jeffrey fluid in an asymmetric channel under the effects of induced magnetic field and heat transfer. The problem is simplified by using long wave length and low Reynolds approximations. Exact and closed form Adomian solutions are presented. Expressions for the velocity, stream function, magnetic force function, temperature, pressure gradient and pressure rise are computed. The results of pertinent parameters are discussed. Finally, the trapping phenomena for different wave shapes are discussed. It is observed that the pressure rise for sinusoidal wave is less than trapezoidal wave and greater than triangular in a Jeffrey fluid. [Copyright &y& Elsevier]