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# FLUID FLOW AND HEAT TRANSFER OVER A STRETCHING SHEET WITH TEMPERATURE DEPENDENT PRANDTL NUMBER AND VISCOSITY

N. Govindaraj, A. K. Singh, Pankaj Shukla

Mathematics Division, School of Advanced Science, VIT Chennai, Chennai - 600127, India

* Corresponding Author: Email:

Frontiers in Heat and Mass Transfer 2020, 15, 1-8. https://doi.org/10.5098/hmt.15.20

## Abstract

A numerical study of fluid flow over stretching sheet with temperature dependent properties has been performed induced by mixed convection. The significant variation of the Prandtl number and viscosity in the temperature is observed [see table 1]. Viscosity and Prandtl number are vary in inverse of the linear function. The physical problem modeled in the mathematical equations in dimension form, which is converted to the non-dimensional equations by applying similarity transformations and suitable boundary conditions. The mathematical modelling problem is transformed PDE’s are numerically solved using Quasilinearization technique and FDM. The current numerical data has been presented in terms of velocity and heat transfer profiles and including the appropriate physical reason. The graphically represented the temperature and velocity distribution has been analyzed in detail. It has been found that the temperature and velocity profiles increases with decrease of m. The various parameter values of buoyancy force, Ratio between free stream velocity and the reference velocity and stream function are increases with higher value m = 1 acting in near to the plate on the velocity profile but temperature profile acting on away from the plate. The skin friction and heat transfer fluid flow enhance the buoyancy force. In particular 82 percentage and 2 percentage increment in skin friction and heat transfer is observed that buoyancy force increases from 2 to 3 at other parameters are fixed. The stretching sheet fluid flow behaviors enrich the solution and understand the boundary layers.

## Keywords

Govindaraj, N., Singh, A. K., Shukla, P. (2020). FLUID FLOW AND HEAT TRANSFER OVER A STRETCHING SHEET WITH TEMPERATURE DEPENDENT PRANDTL NUMBER AND VISCOSITY. Frontiers in Heat and Mass Transfer, 15(1), 1–8.

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