Heat Transfer in MHD Squeezing Flow using Brinkman Model

Authors

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

Keywords:

Squeezing flow, permeable plates, porous medium, heat transfer, MHD, radiation

Abstract

This study investigates squeezing flow of viscous incompressible fluid in a highly permeable medium between 2 parallel, permeable, unsteadily rotating plates in the presence of a magnetic field and radiation. The plates at time t* are separated by a distance H(1-at*)1/2. Using a similarity transformation, the governing equations have been transformed into a system of non-linear ordinary differential equations. The resulting equations have been solved numerically by a shooting method. Graphs are presented to depict the temperature and heat transfer profiles. The results show a decline in the temperature profiles under the effect of enhanced radiation.

doi:10.14456/WJST.2014.68

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Author Biographies

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

Prof. Emeritus

Sargam WASU, Department of Applied Sciences, Gurukul Vidyapeeth Institute of Engineering & Technology, Distt Patiala, Punjab

Assistant Professor

Department of Applied Sc.

References

EC Kuhn and CC Yates. Fluid inertia effect on the film pressure between axially oscillating parallel circular plates. ASLE Trans. 1964; 7, 299-303.

JB Hunt. Pressure distribution in a plane fluid film subject to normal sinusoidal excitation. Nature 1966; 211, 1137-9.

PS Gupta and AS Gupta. Squeezing flow between parallel plates. Wear 1977; 45, 177-85.

BS Bhatt and EA Hamza. Similarity solution for the squeezed film flow between two rotating naturally permeable discs. Z. Angew. Math. Mech. 1996; 76, 291-9.

SC Rajvanshi. The flow between two parallel infinite disks, both subjected to normal sinusoidal oscillations. In: Proceedings of the National Academy of Sciences, India, 1971, p. 209-19.

SC Rajvanshi. Effect of axial current induced pinch and velocity slip on the squeeze-film behavior for porous annular disks. In: Proceedings of the National Academy of Sciences, India, 1981, 350-8.

M Singh and SC Rajvanshi. Flow between two parallel pulsating plates. Acta Ciencia Indica 1990; 16, 223-36.

G Gauthier, P Gondret and M Rabaud. Axisymmetric propagating vortices in the flow between a stationary and a rotating disk enclosed by a cylinder. J. Fluid Dynam. 1999; 386, 105-26.

L Schouveiler, PL Gal and MP Chauve. Instabilities in the flow between a rotating and stationary disk. J. Fluid Dynam. 2001; 443, 329-50.

E Serre, E Crespo del Arco and P Bontoux. Annular and spiral patterns in flows between rotating and stationary discs. J. Fluid Dynam. 2001; 434, 65-100.

MA Hossain and HS Takhar. Radiation effect on mixed convection along a vertical plate with uniform surface temperature. Heat Mass Tran. 1996; 31, 243-8.

MA Hossain, MA Alim and DA S Rees. The effect of radiation in free convection from a porous vertical plate. Int. J. Heat Mass Tran. 1999; 42, 181-91.

A Raptis and C Perdikis. Radiation and free convection flow past a moving vertical plate. Int. J. Appl. Mech. Eng. 1999; 4, 817-21.

AJ Chamkha. Hydromagnetic free convection flow over an inclined plate caused by solar radiation. J. Thermophys. Heat Tran. 1997; 11, 312-5.

AJ Chamkha, HS Takhar and VM Soundalgekar. Radiation effects on free convection flow past a semi-infinite vertical plate with mass transfer. Chem. Eng. J. 2001; 84, 335-42.

MA Samad and MM Rahman. Thermal radiation interaction with unsteady MHD flow past a vertical porous plate immersed in a porous medium. J. Nav. Architect. Mar. Eng. 2006; 3, 7-14.

A Postelnicu. The onset of a Darcy-Brinkman convection using a thermal non-equilibrium model, Part-II. Int. J. Therm. Sci. 2008; 47, 1587-94.

MM Rashidi, H Shahmohamadi and S Dinarvand. Analytic approximate solutions for unsteady two-dimensional and axisymmetric squeezing flows between parallel plates. Math. Probl. Eng. 2008; 2008, 1-13.

PR Sharma, V Kumar and P Sharma. Unsteady MHD free convective flow and heat transfer between heated inclined plates with magnetic field in the presence of radiation effects. J. Int. Acad. Phys. Sci. 2010; 14, 181-93.

R Ali and A Shahzad. MHD flow of a non-Newtonian fluid over a vertical stretching sheet with convective boundary condition. Walailak J. Sci. & Tech. 2013; 10, 43-56.

DS Chauhan and V Kumar. Radiation effects on unsteady flow through a channel filled by a porous medium with velocity and temperature slip boundary conditions. Appl. Math. Sci. 2012; 6, 1759-69.

US Rajput and PK Sahu. Natural convection in unsteady hydromagnetic Couette flow through a vertical channel in the presence of thermal radiation. Int. J. Appl. Math. Mech. 2012; 8, 35-56.

SC Rajvanshi, BS Saini and S Wasu. Heat transfer and entropy generation on MHD squeezing flow between two parallel rotating plates using Brinkman model. J. Rajasthan Acad. Phys. Sci. 2013; 12, 181-98.

S Sangapatnam, BR Nandanoor and RP Vallampati. Radiation and mass transfer effects on MHD free convection flow past an impulsively started isothermal vertical plate with dissipation. Therm. Sci. 2009; 13, 171-81.

VR Prasad and NB Reddy. Radiation and mass transfer effects on an unsteady MHD free convection flow past a heated vertical plate in a porous medium with viscous dissipation. Theor. Appl. Mech. 2007; 34, 135-60.

HC Brinkman. A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles. Appl. Sci. Res. 1947; 1, 27-34.

AC Cogley, WG Vincenti and SE Gilles. Differential approximation for radiative transfer in a non-gray gas near equilibrium. Am. Inst. Aeronaut. Astronaut. J. 1968; 6, 551-3.

CY Wang. The squeezing of fluid between two plates. J. Appl. Mech. 1976; 43, 579-83.

EA Hamza. Unsteady flow between two disks with heat transfer in the presence of a magnetic field. J. Phys. D: Appl. Phys. 1992; 25, 1425-31.

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Published

2014-01-20

How to Cite

RAJVANSHI, S. C., & WASU, S. (2014). Heat Transfer in MHD Squeezing Flow using Brinkman Model. Walailak Journal of Science and Technology (WJST), 11(11), 931–938. Retrieved from https://wjst.wu.ac.th/index.php/wjst/article/view/676