In this analysis, similarity transformation has been used to find the heat transfer effects of a viscous fluid movement with irregular temperature and viscous dissipation as such studies have tremendous applications in process industries of engineering and technology. Ordinary differential equations with appropriate similarity variables are used to solve the nonlinear governing equations, which are further elucidated by inbuilt MATLAB bvp4c to obtain the numerical solution. The solution is discussed through graphs which provide a detailed physical clarification of each profile in terms of the effects of the involved parameter. It has been observed that temperature and other fluid properties are noticeably affected by the influence of transformed mechanical and thermal as well as viscous dissipation. Various effects of dimensionless parameters on fluid velocity, temperature, and gradients are graphically represented. With the increased values of Eckert number, temperature profile increases. A decreasing trend has been noticed with the increasing values of Prandtl and Grashof numbers for heat transfer. Velocity distribution has an uprising trend with the enlarged values of the Grashof number. Finally, the changes in the Nusselt number as well as the skin-friction coefficient are tabulated. The proposed investigation shows the importance of viscous fluid in chemical, manufacturing, biological plants, mechanical heart valves, etc.

viscous fluid, heat transfer, similarity transformation, viscous dissipation.

Received: June 21, 2022; Revised: August 7, 2022; Accepted: September 12, 2022; Published: December 15, 2022

How to cite this article: Bamdeb Dey, Jintu Mani Nath, Tusar Kanti Das and Dimbeswar Kalita, Simulation of transmission of heat on viscous fluid flow with varying temperatures over a flat plate, JP Journal of Heat and Mass Transfer 30 (2022), 1-18. http://dx.doi.org/10.17654/0973576322052

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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