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Indumathi, N.
- Radiative Unsteady Rarefied Gaseous Flow Over a Stretching Sheet with Velocity Slip and Temperature Jump Effects
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Authors
Affiliations
1 Department of Mechanical Engg., National Institute of Technology, Yupia, Arunachal Pradesh, IN
2 Department of Mathematics, Sri Ramakrishna Mission Vidyalaya, College of Arts and Science, Coimbatore - 641 020, IN
3 Department of Mathematics, Providence College for Women, Coonoor - 643 104, IN
1 Department of Mechanical Engg., National Institute of Technology, Yupia, Arunachal Pradesh, IN
2 Department of Mathematics, Sri Ramakrishna Mission Vidyalaya, College of Arts and Science, Coimbatore - 641 020, IN
3 Department of Mathematics, Providence College for Women, Coonoor - 643 104, IN
Source
The Journal of the Indian Mathematical Society, Vol 87, No 3-4 (2020), Pagination: 261–275Abstract
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
- A. K. Abdul Hakeem, R. Kalaivanan, N. Vishnu Ganesh B. Ganga, Effect of partial slip on hydrodynamic flow over a porous stretching sheet with non-uniform heat source/sink, thermal radiation and wall mass transfer, Ain Shams Eng. J., 5. (2014), 913–922.
- Cai Chunpei, Near continuum boundary layer flows at a flat plate, Theor. and Appl.Mech. Lett., 5. (2015), 134–139.
- T. Fang and F. Lee Chia-fon, A moving wall boundary layer flow of a slightly rarefied gas free stream over a moving flat plate, Appl. Math. Lett., 18. (2005), 487–495.
- C. M. Ho and Y. C. Tai, Micro-electro-mechanical systems(mems) and fluid flows, Annu. Rev. Fluid Mech., 30. (1998), 579-612.
- M. Kayalvizhi, R. Kalaivanan, N. Vishnu Ganesh, A. K. Abdul Hakeem, and B. Ganga, Velocity slip effects on heat and mass fluxes of MHD viscous-Ohmic dissipative flow over a stretching sheet with thermal radiation, Ain Shams Eng. J., 7. (2015), 791–797.
- R. V. M. S. S. Kiran Kumar, S. Vijaya Kumar Varma, C. S. K. Raju, S. M. Ibrahim, G. Lorenzini, and E. Lorenzini, Magnetohydrodynamic 3D slip flow in a suspension of carbon nanotubes over a slendering sheet with heat source/sink, Continuum Mech. Thermodyn., 29(3). (2017), 835-851, DOI 10.1007/s00161-017-0563-0.
- D. A. Lockerby, J. M. Reese, D. R. Emerson, and R. W. Barber, The velocity boundary condition at solid walls in rarefied gas calculations, Phys. Rev. E. Stat. Nonlin. Soft Matter Phys., 70. (2004), 017303.
- N. T. P. Le, C. White, J. M. Reese and R. S. Myong, Langmuir- Maxwell and LangmuirSmoluchowski Boundary conditions for thermal gas flow simulations in hypersonic aerodynamics, Int. J. Heat and Mass Transfer., 55. (2012), 5032–5043.
- M. T. Matthews and J. M. Hill, Micro/Nano sliding plate problem with Navier boundary condition, ZAMP J., 57. (2006), 875–903.
- M. T. Matthews and J. M. Hill, A note on the boundary layer equations with linear slip boundary condition, Appl. Math. Lett., 21. (2008), 810–813.
- X. Si, H. Li, Y. Shen and L. Zheg, Effects of nonlinear velocity slip and temperature jump on pseudo-plastic power-law fluid over moving permeable surface in presence of magnetic field, Appl. Math. Mech. -Engl. Ed., 38. (3)(2017) 333-342, DOI 10.1007/s10483017-2178-8.
- F. Sharipov, Benchmark problems in rarefied gas dynamics, J. Vacuum., 86. (2012), 1697–1700.
- J. J. Shu, J. B. Melvin Teo and W. K. Chan, Fluid velocity slip and temperature jump at a solid surface, Appl. Mech. Rev., 69(2). (2017), 020801, DOI: 10.1115/1.4036191.
- N. Vishnu Ganesh, B. Ganga, A. K. Abdul Hakeem, S. Saranya and R. Kalaivanan, Hydromagnetic axisymmetric slip flow along a vertical stretching cylinder with convective boundary condition, St. Petersburg Polytech. Univ. J.: Phys. and Math., 2. (2016), 273–280.
- L. Wu, A slip model for rarefied gas flows at a arbitrary Knudsen number, Appl. Phy. Lett., 93. (2008), 253103.