Effect of Radiation and Gravity Modulation on Unsteady MHD Free Convection Flow Through Porous Medium in Slip-Flow Regime with Entropy

Authors

  • Satish Chandra RAJVANSHI Department of Applied Sciences, Gurukul Vidyapeeth Institute of Engineering & Technology, Distt Patiala, Punjab
  • Baljinder Singh SAINI Department of Applied Sciences, Gurukul Vidyapeeth Institute of Engineering & Technology, Distt Patiala, Punjab
  • Bhawn JEET Department of Applied Sciences, Institute of Engineering & Technology, Bhaddal, Distt Ropar, Punjab

Keywords:

Porous medium, MHD, heat transfer, entropy, gravity fluctuation, slip-flow

Abstract

The effect of radiation and periodic oscillation of the gravitational field on free-convection from a vertical plate is investigated. It is assumed that the gravity modulation is given by a harmonic function superimposed on a constant. The permeability and suction velocity is assumed to fluctuate with time. The transformed equations are solved by perturbation technique to investigate the effects of Prandtl number and gravity modulation parameter. The effect of gravity modulation on velocity, temperature, skin friction, penetration distance and entropy are discussed. It is observed that the Prandtl number and gravity modulation affect the shear stress and the rate of heat transfer considerably.

doi:10.14456/WJST.2014.41

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Author Biographies

Satish Chandra RAJVANSHI, Department of Applied Sciences, Gurukul Vidyapeeth Institute of Engineering & Technology, Distt Patiala, Punjab

Head of the Department of Applied Sciences

Gurukul Vidyapeeth Institute of Engineering and Technology, Ramnagar, Banur, Distt Mohali, Punjab

Baljinder Singh SAINI, Department of Applied Sciences, Gurukul Vidyapeeth Institute of Engineering & Technology, Distt Patiala, Punjab

Research Scholar

Bhawn JEET, Department of Applied Sciences, Institute of Engineering & Technology, Bhaddal, Distt Ropar, Punjab

Lecturer, Department of Applied Sciences

References

K Jules, K Hrovat, E Kelly, K McPherson and T Reckart. International Space Station Increment-2 Microgravity Environment Summary Report. National Aeronautics and Space Administration, Washington DC, 2002, p. 1-140.

WMB Duval and D Jacqmin. Interfacial dynamics of two fluids under an oscillating gravitational field. AIAA J. 1990; 28, 1933-41.

MS Malashetty and V Padmavathi. Effect of gravity modulation on the onset of convection in a fluid and porous layer. Int. J. Eng. Sci. 1997; 35, 829-40.

Y Zhao, J Iwan and D Alexander. Effects of g-jitter on experiments conducted in low-earth orbit- A review. In: Proceeding of the 41st Aerospace Sciences Meeting and Exhibit, Reno, Nevada, USA 2003.

S Sharidan, N Amin and I Pop. G-jitter fully developed combined heat and mass transfer by mixed convection flow in a vertical channel. Int. Comm. Heat Mass Tran. 2005; 32, 657-65.

S Sharidan and N Amin. G-jitter induced free convection boundary layer on heat transfer from a sphere with constant heat flux. J. Fundamental Sci. 2005; 1, 44-54.

VK Siddavaram and GM Homsy. The effects of gravity modulation on fluid mixing Part-I Harmonic modulation. J. Fluid Mech. 2006; 562, 445-75.

S Sharidan and I Pop. G-jitter free convection flow in the stagnation- point region of a three-dimensional body. Mech. Res. Commun. 2007; 34, 115-22.

DAS Rees and I Pop. G-jitter induced free convection near a stagnation point. Int. J. Heat Mass Tran. 2001; 37, 403-8.

DAS Rees and I Pop. The effect of large-amplitude g-jitter vertical free convection boundary-layer flow in porous media. Int. J. Heat Mass Tran. 2003; 46, 1097-102.

RK Deka and VM Soundalgekar. Gravity modulation effect on transient free-convection flow past an infinite vertical isothermal plate. Defence Sci. J. 2006; 56, 477-83.

BQ Li. G-jitter induced free convection in a transverse magnetic field. Int. J. Heat Mass Tran. 1996; 39, 2853-60.

CF Chen and WY Chen. Effect of gravity modulation on the stability of convection in a vertical slot. J. Fluid Mech. 1999; 395, 327-44.

SC Rajvanshi and BS Saini. Free convection MHD flow past a moving vertical porous surface with gravity modulation at constant heat flux. Int. J. Theo. App. Sci. 2010; 2, 29-33.

BS Saini, SC Rajvanshi and P Agarwal. Effect of gravity fluctuation on free convection flow. Int. J. Theo. App. Sci. 2010; 2, 12-5.

BS Saini and SC Rajvanshi. Three-dimensional MHD free-convection flow past an infinite vertical porous plate with periodic suction and gravity modulation. Acta Technica 2010; 55, 237-58.

SC Rajvanshi and S Wasu. Unsteady MHD flow past a porous flat plate with heat absorption and gravity modulation. Adv. Appl. Fluid Mech. 2010; 8, 129-39.

SR Jain and SC Rajvanshi. Influence of gravity modulation, viscous heating and concentration on flow past a vertical plate in slip-flow regime with periodic temperature variations. Int. J. Theo. App. Sci. 2011; 3, 16-22.

S Wasu and SC Rajvanshi. MHD Flow Past an Infinite Plate under the Effect of Gravity Modulation. In: AH Siddiqi, RC Singh and P Manchanda (eds.). Mathematics in Science and Technology: Mathematical Methods, Models and Algorithms in Science and Technology. World Scientific Publishing Co. Pte. Ltd., Singapore, 2011, p. 510-23.

SC Rajvanshi and SR Jain. Free convection flow past a moving vertical porous surface with oscillatory suction and gravity modulation. Bull. Pure App. Math. 2012; 6, 164-79.

SC Rajvanshi and S Wasu. Free convection flow past an impulsively started infinite vertical porous plate with constant heat flux and gravity modulation. Bull. Pure App. Math. 2012; 6, 110-21.

AC Cogley, WG Vincenti and SE Giles. Differential approximation for radiative transfer in a non-gray gas near equilibrium. AIAA J. 1968; 6, 551-3.

R Grief, IS Habib and JC Lin. Laminar convection of a radiating gas in a vertical channel. J. Fluid Mech. 1970; 46, 513-20.

S Mahmud, SH Tasnim and MAH Mamun. Thermodynamic analysis of mixed convection in a channel with transverse hydromagnetic effect. Int. J. Therm. Sci. 2003; 42, 731-40.

I Ozkol, G Komurgoz and A Arikoglu. Entropy generation in the laminar natural convection from a constant temperature vertical plate in an infinite fluid. Proc. IME J. Power Energ. 2007; 221, 609-16.

DS Chauhan and P Rastogi. Heat transfer and entropy generation in MHD flow through a porous medium past a stretching sheet. Int. J. Eng. Tech. 2011; 3, 1-13.

DS Chauhan and V Kumar. Effects of slip conditions on forced convection and entropy generation in a circular channel occupied by a highly porous medium: Darcy extended Brinkman-Forchheimer model. Turk. J. Eng. Env. Sci. 2009; 33, 91-104.

K Hoonam, H Gurgenci and AA Merrikh. Heat transfer and entropy generation optimization of forced convection in a porous-saturated duct of rectangular cross-section. Int. J. Heat Mass Tran. 2007; 50, 2051-9.

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Published

2013-10-31

How to Cite

RAJVANSHI, S. C., SAINI, B. S., & JEET, B. (2013). Effect of Radiation and Gravity Modulation on Unsteady MHD Free Convection Flow Through Porous Medium in Slip-Flow Regime with Entropy. Walailak Journal of Science and Technology (WJST), 11(3), 225–242. Retrieved from https://wjst.wu.ac.th/index.php/wjst/article/view/456