Effect of mass transfer on unsteady three-dimensional MHD dusty Couette flow
Downloads
Abstract
The unsteady three-dimensional Couette flow of a viscous incompressible fluid between two porous flat plates with uniform injection and periodic suction in the presence of magnetic field and mass transfer has been investigated. Perturbation technique has been used to obtain approximate solutions for the velocity, temperature and concentration fields, skin friction, Nusselt number and Sherwood number. The velocity, temperature and concentration profiles have been plotted to study the effect of diffusion parameter, Schmidt number and other non-dimensional parameters on them. Furthermore, skin friction and Nusselt number have been tabulated for different values of the non-dimensional parameters.
Keywords:
Slip flow regime, MHD, mass transfer, porous medium, Couette flow, dusty fluidMathematics Subject Classification:
Mathematics- Pages: 950-960
- Date Published: 01-01-2021
- Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
S. Ahmed, K. Kalita and A.J. Chamkha, Analytical and numerical solution of three-dimensional channe[l flow in presence of a sinusoidal fluid injection and a chemical reaction, Ain Shams Engineering Journal, 6 (2015) 691701.
T. Chinyoka, and O.D. Makinde, Analysis of transient Generalized Couette flow of a reactive variable viscosity third-grade liquid with asymmetric convective cooling, Mathematical and Computer Modelling, 54 (2011) 160174.
S.Das S, R.N. Jana and O.D. Makinde, Transient hydromagnetic reactive Couette flow and heat transfer in a rotating frame of reference, Alexandria Engineering Journal, 55 (2016) 635-644.
E.R.G. Eckert, Heat and Mass Transfer, McGraw-Hill, New York, 1958.
A. Govindarajan, V. Ramamurthy and K. Sundarammal, 3D Couette flow of dusty fluid with transpiration cooling, Journal of Zhejiang University SCIENCE A, 8 (2007) $313-322$.
M. Guria, Effect of slip condition on vertical channel flow in the presence of radiation, International Journal of Applied Mechanics and Engineering, 21 (2016) 341-358.
O.D. Makinde, and T. Chinyoka, Numerical study of unsteady hydromagnetic Generalized Couette flow of a reactive third-grade fluid with asymmetric convective cooling, Computer and Mathematics with Applications, 12 (2011) 1167-1179.
S.N. Sahoo, Heat and Mass Transfer Effect on MHD Flow of a Viscoelastic Fluid through a Porous Medium Bounded by an Oscillating Porous Plate in Slip Flow Regime, International Journal of Chemical Engineering, $15(2013) 65-79$.
R. Sivaraj and R.B. Kumar, Chemically reacting dusty viscoelastic fluid flow in an irregular channel with convective boundary, Ain Shams Engineering Journal, 4 (2013) $93-101$.
T. Saravanakumar, V.J. Nirmala, R. Raja, J. Cao and G. Lu, Finite-time reliable dissipative control of neutraltype switched artificial neural networks with non-linear fault inputs and randomly occurring uncertainties, Asian Journal of Control, 22 (2020) 2487-2499.
V. J. Nirmala, T. Saravanakumar and Q. Zhu, Dissipative criteria for Takagi-Sugeno fuzzy Markovian jumping neural networks with impulsive perturbations using delay partitioning approach, Advances in Difference Equations, $2019(2019) 1-20$.
${ }^{[12]}$ Q. Zhu, T. Saravanakumar, S. Gomathi and S. Marshal Anthoni, Dissipative criteria for Takagi-Sugeno fuzzy Markovian jumping neural networks with impulsive perturbations using delay partitioning approach, IEEE ACcess, 7 (2019) 90289-90303.
T. Saravanakumar, S. Marshal Anthoni and Q. Zhu, Resilient extended dissipative control for Markovian jump systems with partially known transition probabilities under actuator saturation, Journal of the Franklin Institute, 357 (2020) 6197-6227.
T. Saravanakumar, N.H.Muoi and Q. Zhu, Finite-time sampled-data control of switched stochastic model with non-deterministic actuator faults and saturation nonlinearity, Journal of the Franklin Institute, 357 (2020) $13637-$ 13665.
T. Poongodi, T. Saravanakumar and Q. Zhu, Extended dissipative control for markovian jump time-delayed systems with bounded disturbances, Mathematical Problems in Engineering, 2020 (2020) 1-15.
Similar Articles
- V. Jeba Rani, S. Sundar Raj, T. Shyla Isaac Mary, Non-adjacent vertex sum polynomial of Umbrella graphs, Jahangir graph, Tadpole graph and Lollipop graph , Malaya Journal of Matematik: Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.
