The Effects of Radiation on Free Convection Flow with Ramped Wall Temperature in Brinkman Type Fluid

Authors

  • Muhamad Najib Zakaria Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
  • Abid Hussanan Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
  • Ilyas Khan Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
  • Sharidan Shafie Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia

DOI:

https://doi.org/10.11113/jt.v62.1886

Keywords:

Natural convection, Brinkman type fluids, ramped wall temperature, exact solutions

Abstract

The present paper is on study of the influence of radiation on unsteady free convection flow of Brinkman type fluid near a vertical plate containing a ramped temperature profile. Using the appropriate variables, the basic governing equations are reduced to nondimensional equations valid with the imposed initial and boundary conditions. The exact solutions are obtained by using Laplace transform technique. The influence of radiation near a ramped temperature plate is also compared with the flow near a plate with constant temperature. The numerical computations are carried out for various values of the physical parameters such as velocity, temperature, skin friction and Nusselt number and presented graphically.

References

Chandran, P., N. C. Sacheti and A. K. Singh. 2005. Natural Convection Near a Vertical Plate with Ramped Wall Temperature. Heat Mass Transfer. 41: 459–464.

Narahari, M., and A. Ishak. 2011. Radiation Effects on Free Convection Flow Near a Moving Vertical Plate with Newtonian Heating. Journal of Applied Science. 11(7): 1096–1104.

Deka, R. K. and S. K. Das. 2011. Radiation Effects on Free Convection Flow Near a Vertical Plate with Ramped Wall Temperature. Engineering. 3: 1197–1206.

Rajesh, V. 2010. Radiation Effects on MHD Free Convection Flow Near a Vertical Plate with Ramped Wall Temperature. Int. J. of Appl. Math and Mech. 6(21): 60–77.

Rajesh, V. 2011. Chemical Reaction and Radiation Effects on the Transient MHD Free Convection Flow of Dissipative Fluid Past an Infinite Vertical Porous Plate with Ramped Wall Temperature. Chemical Industry & Chemical Engineering Quaterly. 17(2): 189–198.

Seth, G. S., Md. S. Ansari and R. Nandkeolyar. 2011. MHD Natural Convection Flow with Radiative Heat Transfer Past an Impulsively Moving Plate with Ramped Wall Temperature. Heat Mass Transfer. 47: 551–561.

Deka, R. K. and S. K. Das. 2011. Natural Convection Near a Vertical Plate in a Porous Medium with Ramped Wall Temperature. International Journal of Mathematical Archieve. 2(7): 1080–1086.

Deka, D., and R. K. Deka. 2010. Natural Convection Near a Vertical Plate with Ramped Wall Temperature and Heat Source. Far East Journal of Applied Mathematics. 41(1): 21–32.

Darcy, H. 1971. Les Fountains Publique. De La Ville De Dijon, Dalmont, Paris.

Varma, S. V. and M. S. Babu. 1985. A Brinkman for MHD Viscous Incompressible Flow Through a Porous Channel. Indian Journal Pure Applied Mathematics. 16(7): 796–806.

Nazar, R., N. Amin, D. Filip, and I. Pop. 2003. The Brinkman Model for the Mixed Convection Boundary Layer Flow Past a Horizontal Circular Cylinder in a Porous Medium. International Journal of Heat and Mass Transfer. 46(17): 3167–3178.

Singh, A. K. 2005. Convective Flow of Two Immiscible Viscous Fluids Using Brinkman Model. Indian Journal of Pure Applied Physics. 43: 415–421.

Fetecau, C., C. Fetecau and M. A. Imran. 2011. On Stokes problem for fluids of Brinkman type. Math. Reports. 13(63): 15–26.

Hsu, C. T. and P. Cheng. 1985. The Brinkman Model for Natural Convection About Semi Infinite Vertical Flat Plate in a Porous Medium. International Journal of Heat and Mass Transfer. 28(3): 683–697.

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Published

2013-05-15

Issue

Section

Science and Engineering

How to Cite

The Effects of Radiation on Free Convection Flow with Ramped Wall Temperature in Brinkman Type Fluid. (2013). Jurnal Teknologi (Sciences & Engineering), 62(3). https://doi.org/10.11113/jt.v62.1886