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Radiative Unsteady Rarefied Gaseous Flow Over a Stretching Sheet with Velocity Slip and Temperature Jump Effects


Affiliations
1 Department of Mechanical Engg., National Institute of Technology, Yupia, Arunachal Pradesh, India
2 Department of Mathematics, Sri Ramakrishna Mission Vidyalaya, College of Arts and Science, Coimbatore - 641 020, India
3 Department of Mathematics, Providence College for Women, Coonoor - 643 104, India
     

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In this study a mathematical analysis has been carried out to scrutinize the unsteady boundary layer flow of an incompressible, rarefied gaseous flow over a vertical stretching sheet with velocity slip and thermal jump boundary conditions in the presence of thermal radiation. Using boundary layer approach and suitable similarity transformations, the governing partial differential equations with the boundary conditions are reduced to a system of non-linear ordinary differential equations. The resulting non-linear ordinary differential equations are solved with the help of fourth order Runge-Kutta method with shooting technique. The results obtained for the velocity profile, temperature profile, skin friction coefficient and the reduced Nusselt number are described through graphs. It is predicted that the velocity and temperature profiles are lower for unsteady flow and has an opposite effect for steady flow.

Keywords

Microfluidics, Boundary Layer, Velocity Slip and Thermal Jump, Shooting Technique, Rarefied Gas Flow.
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  • Radiative Unsteady Rarefied Gaseous Flow Over a Stretching Sheet with Velocity Slip and Temperature Jump Effects

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Authors

Ram Prakash Sharma
Department of Mechanical Engg., National Institute of Technology, Yupia, Arunachal Pradesh, India
N. Indumathi
Department of Mathematics, Sri Ramakrishna Mission Vidyalaya, College of Arts and Science, Coimbatore - 641 020, India
S. Saranya
Department of Mathematics, Sri Ramakrishna Mission Vidyalaya, College of Arts and Science, Coimbatore - 641 020, India
B. Ganga
Department of Mathematics, Providence College for Women, Coonoor - 643 104, India
A. K. Abdul Hakeem
Department of Mathematics, Sri Ramakrishna Mission Vidyalaya, College of Arts and Science, Coimbatore - 641 020, India

Abstract


In this study a mathematical analysis has been carried out to scrutinize the unsteady boundary layer flow of an incompressible, rarefied gaseous flow over a vertical stretching sheet with velocity slip and thermal jump boundary conditions in the presence of thermal radiation. Using boundary layer approach and suitable similarity transformations, the governing partial differential equations with the boundary conditions are reduced to a system of non-linear ordinary differential equations. The resulting non-linear ordinary differential equations are solved with the help of fourth order Runge-Kutta method with shooting technique. The results obtained for the velocity profile, temperature profile, skin friction coefficient and the reduced Nusselt number are described through graphs. It is predicted that the velocity and temperature profiles are lower for unsteady flow and has an opposite effect for steady flow.

Keywords


Microfluidics, Boundary Layer, Velocity Slip and Thermal Jump, Shooting Technique, Rarefied Gas Flow.

References





DOI: https://doi.org/10.18311/jims%2F2020%2F25447