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 ,IN
  • N. Indumathi
     Department of Mathematics, Sri Ramakrishna Mission Vidyalaya, College of Arts and Science, Coimbatore - 641 020 ,IN
  • S. Saranya
     Department of Mathematics, Sri Ramakrishna Mission Vidyalaya, College of Arts and Science, Coimbatore - 641 020 ,IN
  • B. Ganga
     Department of Mathematics, Providence College for Women, Coonoor - 643 104 ,IN
  • A. K. Abdul Hakeem
     Department of Mathematics, Sri Ramakrishna Mission Vidyalaya, College of Arts and Science, Coimbatore - 641 020 ,IN

DOI:

https://doi.org/10.18311/jims/2020/25447

Keywords:

Microfluidics, boundary layer, velocity slip and thermal jump, shooting technique, rarefied gas flow

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.

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Published

2020-07-01

How to Cite

Prakash Sharma, R., Indumathi, N., Saranya, S., Ganga, B., & Abdul Hakeem, A. K. (2020). Radiative Unsteady Rarefied Gaseous Flow Over a Stretching Sheet with Velocity Slip and Temperature Jump Effects. The Journal of the Indian Mathematical Society, 87(3-4), 261–275. https://doi.org/10.18311/jims/2020/25447

Issue

Volume 87, Issue 3-4, July-December 2020

Section

Articles

License

Copyright (c) 2020 Ram Prakash Sharma, N. Indumathi, S. Saranya, B. Ganga, A. K. Abdul Hakeem

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Received 2020-06-07
Accepted 2023-01-30
Published 2020-07-01

 

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