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Chand, Khem
- Unsteady Heat and Mass Transfer in MHD Viscoelastic Fluid Flow through Porous Medium between Two Inclined Porous Parallel Plates with Soret Effect and G-Jitter Force
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Authors
Affiliations
1 Department of Mathematics & Statistics Himachal Pradesh University Shimla -5, IN
1 Department of Mathematics & Statistics Himachal Pradesh University Shimla -5, IN
Source
The Journal of the Indian Mathematical Society, Vol 83, No 3-4 (2016), Pagination: 289-312Abstract
The unsteady two-dimensional convective flow of a viscous incompressible, electrically conducting, viscoelastic fluid (Rivlin-Ericksen Model) through porous medium bounded between two inclined porous plates with time dependent injection and same suction velocity has been investigated. At the first plate where injection and same suction velocity has been investigated. At the first plate where injection is taking place is assumed to have a slip property while the other plate is moving with a constant velocity. A first order chemical reaction is considered. Magnetic field is applied transversely to the channel, and assumed so strong that the induced magnetic field is negligibly small. The inclination of channel with direction of gravity is assumed to be between 0 and 90 (acute angle). The effects of a number of non-dimensional parameters namely; Prandtl number (Pr), Grashof number (Gr), modified Grashof number (Gc), frequency of oscillation (ω), viscoelastic parameter (Rc), Soret number (S0) and heat absorption coefficient (Q0) entering into the problem on the velocity, temperature and concentration profiles are stud- ied in detail. Solution of the present problem is found analytically by the method of perturbation technique. Pertinent results regarding the effect of above said non-dimensional numbers for velocity, temperature and concentration profiles are concluded from graphs and tables. Scientific software and Origin software are used for numerical calculations and plot of graphs respectively. The contribution of the temperature gradient to the flux of matter (Soret effect), the effect of angle of inclination of channel and effect of g-jitter are the leading phenomenon.Keywords
Free Convection, Inclined Channel, MHD (Magneto Hydro-Dynamics), Viscoelastic Fluid, Soret Effect.References
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- Effects of Rotation, Radiation and Hall Current on MHD Flow of a Viscoelastic Fluid Past an Infinite Vertical Porous Plate through Porous Medium with Heat Absorption, Chemical Reaction and Variable Suction
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Authors
Khem Chand
1,
Nidhi Thakur
1
Affiliations
1 Himachal Pradesh University, Department of Mathematics and Statistics, Shimla, IN
1 Himachal Pradesh University, Department of Mathematics and Statistics, Shimla, IN
Source
The Journal of the Indian Mathematical Society, Vol 85, No 1-2 (2018), Pagination: 16-31Abstract
The present study analyses the effects of Hall current and heat absorption on a viscous, incompressible, optically thick and electrically conducting viscoelastic fluid flow past an infinite vertical porous plate through porous medium in rotating system with variable suction, thermal radiation and chemical reaction in the presence of uniform magnetic field. The perturbation technique is employed to solve the governing nonlinear partial differential equations to obtain the expressions for velocity, temperature and concentration profile. With the help of graphs and tables, the effects of pertinent flow parameters on the velocity, temperature and concentration fields, shear stress, Nusselt number and Sherwood number within the boundary layer are discussed. The results reveal that the observed parameters in rotating system have a noteworthy influence on the ow, heat and mass transfer.Keywords
Viscoelastic Fluid, Chemical Reaction, Thermal Radiation, Hall Current.References
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