Browse > Article
http://dx.doi.org/10.12941/jksiam.2018.22.217

INFLUENCE OF HALL CURRENT AND HEAT SOURCE ON MHD FLOW OF A ROTATING FLUID IN A PARALLEL POROUS PLATE CHANNEL  

VENKATESWARLU, M. (DEPARTMENT OF MATHEMATICS, V. R. SIDDHARTHA ENGINEERING COLLEGE, KRISHNA (DIST))
UPENDER REDDY, G. (DEPARTMENT OF MATHEMATICS, MAHATMA GANDHI UNIVERSITY)
VENKATA LAKSHMI, D. (DEPARTMENT OF MATHEMATICS, BAPATLA WOMEN'S ENGINEERING COLLEGE)
Publication Information
Journal of the Korean Society for Industrial and Applied Mathematics / v.22, no.4, 2018 , pp. 217-239 More about this Journal
Abstract
This paper examined the MHD and thermal behavior of unsteady mixed convection flow of a rotating fluid in a porous parallel plate channel in the presence of Hall current and heat source. The exact solutions of the concentration, energy and momentum equations are obtained. The influence of each governing parameter on non dimensional velocity, temperature, concentration, skin friction coefficient, rate of heat transfer and rate of mass transfer at the porous parallel plate channel surfaces is discussed. During the course of numerical computation, it is observed that as Hall current parameter and Soret number at the porous channel surfaces increases, the primary and secondary velocity profiles are increases while the primary and secondary skin friction coefficients are increases at the cold wall and decreases at the heated wall. In particular, it is noticed that a reverse trend in case of heat source parameter.
Keywords
MHD; Hall current; Heat absorption; Soret effect; Parallel plate channel;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
1 B. K. Sharma and R. C. Chaudhary: Hydromagnetic unsteady mixed convection and mass transfer flow past a vertical porous plate immersed in a porous medium with Hall Effect, Engineering Transactions, 56 (2008), pp. 3-23.
2 A. M. Salem and M. Abd El-Aziz: Effect of hall currents and chemical reaction on hydromagnetic flow of a stretching vertical surface with internal heat generation or absorption, Applied Mathematical Modeling, 32 (2008), pp. 1236-1254.   DOI
3 M. Venkateswarlu and D. Venkata Lakshmi: Dufour and chemical reaction effects on unsteady MHD flow of a viscous fluid in a parallel porous plate channel under the influence of slip condition, Journal of the Nigerian Mathematical Society, 36 (2017), pp. 369-397.
4 M. Turkyilmazoglu: Exact solutions for the incompressible viscous magnetohydrodynamic fluid of a porous rotating disk flow with hall current, Int. J. Mech. Sci. 56 (2012), pp. 86-95.   DOI
5 A. A. Khan, F. Masood, R. Ellahi and M. M. Bhatti: Mass transport on chemicalized fourth-grade fluid propagating peristaltically through a curved channel with magnetic effects, Journal of Molecular Liquids, 258 (2018), pp. 186-195.   DOI
6 R. Ellahi, M. M. Bhatti and I. Pop: Effects of hall and ion slip on MHD peristaltic flow of Jeffrey fluid in a non-uniform rectangular duct, International Journal of Numerical Methods for Heat and Fluid Flow, 26 (2016), pp. 1802-1820.   DOI
7 M. Venkateswarlu and D. Venkata Lakshmi: Thermal diffusion, hall current and chemical reaction effects on unsteady MHD natural convective flow past a vertical plate, U. P. B. Sci. Bull., Series D: Mechanical Engineering, 79 (2017), pp. 91-106.
8 S. Sarkar and G. S. Seth: Unsteady hydromagnetic natural convection flow past a vertical plate with timedependent free stream through a porous medium in the presence of Hall current, rotation and heat absorption, Journal of Aerospace Engineering, 30 (2017), pp. 04016081-1-11.
9 D. Tripathi, T. Hayat, N. Ali, and S. K. Pandey: Effects of transverse magnetic field on the peristaltic transport of viscoelastic fluid with Jeffrey model in a finite length channel, International Journal of Modern Physics b, 25 (2011), pp. 3455-3471.   DOI
10 B. K. Jha, C. A. Apere: Hall and ion-slip on unsteady MHD Couette flow in a rotating system with suction and injection, J. Phys. Soc. Jpn. 80 (2011), pp. 114401.   DOI
11 M. Venkateswarlu, G. V. Ramana Reddy and D. V. Lakshmi:Effects of chemical reaction and heat generation on MHD boundary layer flow of a moving vertical plate with suction and dissipation, Engineering International, 1 (2013), pp. 27-38.   DOI
12 B. K. Jha and M. O. Oni: Electromagnetic natural convection flow in a vertical micro-channel with joule heating: Exact solution, J Taibah Univ Sci. 12 (2018), pp. 661-668.   DOI
13 M. Venkateswarlu, G. V. Ramana Reddy and D. V. Lakshmi: Diffusion-thermo effects on MHD flow past an infinite vertical porous plate in the presence of radiation and chemical reaction, International Journal of Mathematical Archive, 4 (2013), pp. 39-51.
14 S. Das, H. K. Mandal and R. N. Jana: Hall effects on unsteady rotating MHD flow through porous channel with variable pressure gradient, International Journal of Computer Application, 83 (2013), pp. 7-18.
15 M. M. Bhatti, A. Zeeshan, R. Ellahi and G. C. Shit: Mathematical modeling of heat and mass transfer effects on MHD peristaltic propulsion of two-phase flow through a Darcy-Brinkman-Forchheimer porous medium, Advanced Powder Technology, 29 (2018), pp. 1189-1197.   DOI
16 R. Ellahi, M. Khan, A. S. Nehad: Combine porous and magnetic effect on some fundamental motions of Newtonian fluids over an infinite plate, J. Porous Media, 21 (2018), pp. 589-605.   DOI
17 M. Venkateswarlu and O. D. Makinde: Unsteady MHD slip flow with radiative heat and mass transfer over an inclined plate embedded in a porous medium, Defect and Diffusion Forum, 384 (2018), pp. 31-48.   DOI
18 M. Venkateswarlu, D. Venkata Lakshmi and G. Darmaiah: Influence of slip condition on radiative MHD flow of a viscous fluid in a parallel porous plate channel in presence of heat absorption and chemical reaction , J. Korean Soc. Ind. Appl. Math, 20 (2016), pp. 333-354.
19 M. Venkateswarlu, R. Vasu Babu and S. K. Mohiddin Shaw: Dufour and heat source effects on radiative MHD slip flow of a viscous fluid in a parallel porous plate channel in presence of chemical reaction, J. Korean Soc. Ind. Appl. Math, 21 (2017), pp. 245-275.
20 M. Venkateswarlu and M. Phani kumar: Soret and heat source effects on MHD flow of a viscous fluid in a parallel porous plate channel in presence of slip condition, U. P. B. Sci. Bull., Series D: Mechanical Engineering, 79 (2017), pp. 171-186.
21 O. D. Makinde, Adetayo S. Eegunjobi and M. Samuel Tshehla: Thermodynamics analysis of variable viscosity hydromagnetic couette flow in a rotating system with Hall effects, Entropy, 7 (2015), pp. 7811-7826.
22 M. Venkateswarlu and D. Venkata Lakshmi: Soret and chemical reaction effects on the radiative MHD flow from an infinite vertical plate, J. Korean Soc. Ind. Appl. Math, 21 (2017), pp.39-61.
23 S. O. Adesanya and O. D. Makinde: MHD oscillatory slip flow and heat transfer in a channel filled with porous media, U. P. B. Sci. Bull. Series A, 76 (2014), pp. 197-204.