Abstract

In this article, MHD flow of silver/water nanofluid past a stretched cylinder under the impact of thermal radiation with chemical reaction and slip condition is studied. The impact of Soret and Dufour effect is also analyzed during this flow. The uniqueness of the given problem is enlarged with the insertion of variable magnetic field, free stream velocity, thermal slip condition, and nonlinear thermal radiation. The PDEs are converted to ODEs by using suitable similarity transformation. The nonlinear system of ODEs is solved by applying convergent homotopy analysis method (HAM). The velocity, temperature, and concentration profiles for the free stream and at the plate are discussed through graphs and numerical tables. It is found that velocity field reduces, while the temperature profile rises for the increasing values of magnetic parameter. It is examined that effects of curvature on frication factor are increasing. Furthermore, temperature profile increases for greater Brownian motion and thermophoresis parameters. Transfer of heat enhances decreasing the radius of the cylinder also with heat generation parameter. The skin friction can be reduced by enhancing free stream and wall stretching velocities ratio. Velocity profile of the flow can be controlled by enhancing velocity slip and magnetic field.

Highlights

  • It is acknowledged that the progress in the human culture mostly depends on the sources of energy. erefore, energy is utilized by the researchers in the universe for various functions so that the human being can take benefit from it.e sun is a source of energy which is used by the specialists and researchers in different technologies for the purpose of thermal conductivity and convective heat transfer

  • E sun is a source of energy which is used by the specialists and researchers in different technologies for the purpose of thermal conductivity and convective heat transfer

  • Shafiq et al [8] studied the influence of nonlinear thermal radiation on magnetohydrodynamic (MHD) Darcy-Forchheimer Casson-water nanofluid flow on a circular disk

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Summary

Introduction

It is acknowledged that the progress in the human culture mostly depends on the sources of energy. erefore, energy is utilized by the researchers in the universe for various functions so that the human being can take benefit from it. MHD is abbreviated as the magnetohydrodynamics, which deals with the study of magnetic properties and the behavior of electrically conductive fluid. Shafiq et al [8] studied the influence of nonlinear thermal radiation on magnetohydrodynamic (MHD) Darcy-Forchheimer Casson-water nanofluid flow on a circular disk. Rasool and Shafiq [9] worked on the MHD, heat sink/source, and convective boundary conditions in artificially receptive radiative Powell-Eyring nanofluid stream through Darcy channel utilizing a nonlinearly extending sheet/surface. Rehman et al [24] studied the mathematical methodology to investigate the examination of associated convection and heat radiation on atomic hypothesis of fluid started nanofluid over an extendable surface. Rasool et al [35] studied the behavior of chemical reaction, thermal radiations, and Soret-Dufour influence on a steady incompressible Darcy-Forchheimer flow of nanofluids. Here we analyzed such kind of flow under the impact of MHD, thermal radiation, and heat source. e chemical reaction is kept in mind for the best examination in heat and mass transmission near the stagnation point. e modeled coupled set of ODEs are solved by semianalytical HAM. e graphs of the obtained results are drawn in computer-based package Mathematica and discussed comprehensively

Mathematical Formulation
Similarity Transformations
Solution Procedure
Results and Discussion
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