An analytical investigation of the mixed convective Casson fluid flow past a yawed cylinder with heat transfer analysis

Shahid Khan,Wali Khan Mashwani,Khaled A Gepreel,Emel Khan,Muhammad Ayaz,Asad Ullah,Mahmoud M Selim,Ikramullah Ikramullah

doi:10.1515/phys-2021-0040

Abstract

Abstract The hydrodynamic flow of an incompressible and isotropic Casson fluid through a yawed cylinder is investigated by employing continuity, momentum, and energy equations satisfying suitable boundary conditions. The density variation is governed by Boussinesq approximation. The model equations consisting of coupled partial differential equations (PDEs) are transformed by applying non-similar transformation relations. The set of transformed PDEs is solved using the analytical technique of homotopy analysis method (HAM). The impacts of varying yaw angle, and mixed convection and Casson parameters over fluid velocity (chordwise and spanwise components), its temperature, Nusselt number, and skin friction coefficients are investigated and explained through various graphs. It is found that the enhancing yaw angle, Casson parameter, and convection parameter augment the fluid velocity, heat transfer rate, and skin friction and reduce the fluid temperature. The agreement of present and published results justifies the application of HAM in modeling the mixed convective Casson fluid flow past a yawed cylinder.

Highlights

The fluid flow past yawed and unyawed objects extensively occurs in various engineering-related applications, like cables suspensions bridge, chimney stacks, different towers, sub-sea pipelines, risers, heat exchangers, and overhead cables
We explain the variation of various aspects of Casson fluid flow with varying yaw angle θ, Casson fluid, and mixed convection parameters (γ, λi) by depicting plots for chordwise (F ) and spanwise (S) velocity components, dimensionless temperature, skin friction coefficients, and Nusselt number
It can be concluded that aiding buoyancy to the Casson fluid flow enhances the spanwise velocity with the rising Casson fluid parameter

Summary

Introduction

The fluid flow past yawed and unyawed objects extensively occurs in various engineering-related applications, like cables suspensions bridge, chimney stacks, different towers, sub-sea pipelines, risers, heat exchangers, and overhead cables. The researchers have performed experimental [3,4,5] and numerical [6] investigations of the fluid flowing past a yawed cylinder. Roy [10] as well as Roy and Saikrishnan [11] obtained non-similar solutions for the steady laminar boundary layer motion past yawed cylinder possessing varying physical aspects for compressible and non-compressible fluids, respectively. The mixed convective fluid migration past a cylinder in yawed condition has not been so far investigated sufficiently. The laminar and incompressible Casson fluid through a yawed cylinder is analytically investigated by employing continuity, momentum, and energy equations. The novelty of the current study is the analytical investigation of the Casson fluid motion past a yawed cylinder.

Problem modeling

Solution by HAM

Results and discussion

Conclusions

Validation of HAM

Cambridge