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Bhagya Lakshmi, K.
- Unsteady Mhd Flow of a Non-Newtonian Fluid Down and Open Inclined Channel with Naturally Permeable Bed
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Authors
Affiliations
1 Department of Mathematics, CMRTechnical Campus, kandlakoya, Hyderabad, A.P., IN
2 Department of Mathematics, J N T U A College of Engg. Pulivendula, Y.S.R Dist., A.P, IN
3 Department of Mathematics, S.V.G.S. Junior College, Nellore, A.P, IN
1 Department of Mathematics, CMRTechnical Campus, kandlakoya, Hyderabad, A.P., IN
2 Department of Mathematics, J N T U A College of Engg. Pulivendula, Y.S.R Dist., A.P, IN
3 Department of Mathematics, S.V.G.S. Junior College, Nellore, A.P, IN
Source
International Journal of Fluids Engineering, Vol 5, No 1 (2013), Pagination: 57-76Abstract
This paper deals with unsteady MHD flow of a Walters fluid (Model B') an open inclined channel of width "2a' and depth 'd' under gravity, with naturally permeable bed, the walls of channel being normal to the surface of the bottom, under the influence of a uniform transverse magnetic field. The free surface is exposed to atmospheric pressure. A uniform tangential stress is applied at the free surface in the direction of flow. The naturally permeable bottom of the channel is taken at an angle β with the horizontal. Flow of fluid both in porous medium and in free fluid region is studied with the same pressure gradient. The exact solution of velocity distribution has been obtained by using Laplace transform and finite Fourier sine transform techniques. We have evaluated the velocity distribution and the flux of the fluid in different cases of time dependent pressure gradient g(t) viz., i) constant, ii) exponentially decreasing function of time and iii) cosine function of time. The effects of magnetic parameter 'M', viscoelastic parameter 'K0', permeable parameter 'K', Reynolds number 'R' and time 't' on velocity distribution 'u' and flux 'Cf' in three different cases are investigated.Keywords
Non-newtonian Fluid, Open Inclined Channel, Porous Medium, Magnetic FieldReferences
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- “Impact of Technology On Work Life Balance”- An Empirical Study
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Authors
Affiliations
1 Department of Management Studies, Nandi Institute of Technology, VTU, IN
2 Department of Management Studies Don Bosco Institute Of Technology, VTU, IN
1 Department of Management Studies, Nandi Institute of Technology, VTU, IN
2 Department of Management Studies Don Bosco Institute Of Technology, VTU, IN