Sisko fluid modeling and numerical convective heat transport analysis over-stretching device with radiation and heat dissipation

Abstract

We examine the time-independent boundary layer flow (BLF) and heat transmission of Sisko fluid subject to convective boundary conditions. The fluid flow is impacted through a nonlinear stretchable sheet in the existence of a magnetic field and porous medium. Thermal conductivity effect assumed on heat transfer. We also consider the impact of Joule heating and radiation in the present study. The model’s leading partial differential equations (PDEs) have reduced similarity transformation into nonlinear ordinary differential equations (ODEs). The resultant nonlinear coupled differential equations are tackled in MATLAB built-in solver (bvp4c). The repercussions of relevant parameters like material parameter $(A),$ the combined effect of the magnetic and porous medium parameter $(C),$ Sisko fluid power law index $(n),$ stretching parameter $(r),$ Prandtl number $(\mathrm{Pr}),$ Joule heating parameter $(J),$ temperature parameter $(\lambda )$ and radiation parameter $(N_R)$ on the temperature, velocity, skin friction coefficient, and Nusselt number are scrutinized via graphs. The results show that higher inputs of material parameter have a growing impact on velocity and a decreasing effect on temperature distribution. Increasing Sisko fluid has a reducing impact on velocity distribution. As witnessed from sketches, the shear stress distribution is decreased to increase the impression of the Sisko fluid, material, stretching, and combined parameters. Our computed outcomes are linked to existing outcomes and get the finest contract. The results benefit from comprehending the flow characteristics, flow behavior, and how to foresee it for individuals involved in designing high-temperature machinery in the industry.

Keywords:

• bvp4c
• heat transmission
• Joule heating
• magnetohydrodynamics (MHD)
• porous medium
• radiation
• Sisko fluid
• stretchable sheet

Additional information

Funding

The authors extend their appreciation to the Ministry of Education in KSA for funding this research work through the project number KKU-IFP2-H-8.