Back
 JAMP  Vol.5 No.9 , September 2017
Effect of Heat Source/Sink on Free Convective Flow of a Polar Fluid between Vertical Concentric Annuli
Abstract: The purpose of this paper is to find the effect of heat source/sink parameter on free convective flow of a polar fluid in open-ended vertical concentric annuli. Exact solutions of the non-dimensional differential equations describing the flow model have been obtained one by one for two different cases of source and sink. To observe the effect of the physical parameters such as source/sink and vertex viscosity, the numerical results of the velocity and microrotational velocity are finally shown on the graphs.
Cite this paper: Singh, A. and Kumar Singh, A. (2017) Effect of Heat Source/Sink on Free Convective Flow of a Polar Fluid between Vertical Concentric Annuli. Journal of Applied Mathematics and Physics, 5, 1750-1762. doi: 10.4236/jamp.2017.59148.
References

[1]   Aung, W. (1972) Fully Developed Laminar Free Convection between Vertical Plates Heated Asymmetrically. International Journal of Heat and Mass Transfer, 15, 1577-1580.
https://doi.org/10.1016/0017-9310(72)90012-9

[2]   Nelson, D.J. and Wood, B.D. (1973) Combined Heat and Mass Transfer Natural Convection between Vertical Parallel Plates. International Journal of Heat and Mass Transfer, 32, 1779-1787. https://doi.org/10.1016/0017-9310(89)90059-8

[3]   Aero, E.L., Bulygin, A.N. and Kuvshinski, E.V. (1965) Asymmetric Hydromechanics. Journal of Applied Mathematics and Mechanics, 29, 333-346.
https://doi.org/10.1016/0021-8928(65)90035-3

[4]   D’ep, N.V. (1968) Equations of a Fluid Boundary Layer with Couple Stresses. Journal of Applied Mathematics and Mechanics, 32, 777-778.
https://doi.org/10.1016/0021-8928(68)90110-X

[5]   Cowin, S.C. (1974) The Theory of Polar Fluids. Advances in Applied Mechanics, 14, 279-347.
https://doi.org/10.1016/S0065-2156(08)70034-6

[6]   Chaturani, P. and Biswas, D. (1984) A Comparative Study of Poiseuille Flow of a Polar Fluid Under Various Boundary Conditions with Applications to Blood Flow. Rheologica Acta, 23, 435-445.
https://doi.org/10.1007/BF01329196

[7]   Singh, S.K., Jha, B.K. and Singh, A.K. (1997) Natural Convection in Vertical Concentric Annuli under a Radial Magnetic Field. Heat and Mass Transfer, 32, 399-401.
https://doi.org/10.1007/s002310050137

[8]   Raptis, A. and Takhar, H.S. (1999) Polar Fluid through a Porous Medium. Acta Mechanica, 135, 91-93.
https://doi.org/10.1007/BF01179048

[9]   Ogulu, A. (2005) On the Oscillating Plate Temperature Flow of a Polar Fluid past a Vertical Porous Plate in the Presence of Couple Stresses and Radiation. International Communications in Heat Mass Transfer, 32, 1231-1243.
https://doi.org/10.1016/j.icheatmasstransfer.2005.05.002

[10]   Cheng, C.Y. (2006) The Effect of Temperature-Dependent Viscosity on the Natural Convection Heat Transfer from a Horizontal Isothermal Cylinder of Elliptic Cross Section. International Communications in Heat and Mass Transfer, 33, 1021-1028.
https://doi.org/10.1016/j.icheatmasstransfer.2006.02.019

[11]   Cheng, C.Y. (2009) Natural Convection Heat Transfer from a Horizontal Isothermal Elliptical Cylinder with Internal Heat Generation. International Communications in Heat and Mass Transfer, 36, 346-350.
https://doi.org/10.1016/j.icheatmasstransfer.2009.01.004

[12]   Patil, P.M. (2008) Effects of Free Convection on the Oscillatory Flow of a Polar Fluid through a Porous Medium in the Presence of Variable Heat Flux. Journal of Engineering Physics and Thermo Physics, 81, 905-922.
https://doi.org/10.1007/s10891-009-0122-z

[13]   Molla, M.M., Hossain, M.A. and Paul, M.C. (2006) Natural Convection Flow from an Isothermal Horizontal Circular Cylinder in Presence of Heat Generation. International Journal of Engineering Science, 44, 949-958.
https://doi.org/10.1016/j.ijengsci.2006.05.002

[14]   Patil, P.M. and Kulkarni, P.S. (2008) Effects of Chemical Reaction on Free Convective Flow of a Polar Fluid through a Porous Medium in the Presence of Internal Heat Generation. International Journal of Thermal Sciences, 47, 1043-1054.
https://doi.org/10.1016/j.ijthermalsci.2007.07.013

[15]   Ravi, S.K. and Singh, A.K. (2010) Natural Convection of a Polar Fluid in Vertical Concentric Annuli. International Journal of Applied Mathematics and Mechanics, 7, 70-81.

[16]   Mohamed, R.A., Abo-Dahab, S.M. and Nofal, T.A. (2010) Thermal Radiation and MHD Effects on Free Convective Flow of a Polar Fluid through a Porous Medium in the Presence of Internal Heat Generation and Chemical Reaction. Mathematical Problems in Engineering, 2010, 27. https://doi.org/10.1155/2010/804719

[17]   Ravi, S.K., Singh, A.K. and Alawadhi, K.A. (2011) Effect of Temperature Dependent Heat Source/Sink on Free Convective Flow of a Micropolar Fluid between Two Vertical Walls. International Journal of Energy and Technology, 3, 1-8.

[18]   Perdikis, C. and Rapti, E. (2014) Magnetohydrodynamic Flow a Polar Fluid. International Journal of Mathematical Archive, 5, 7-11.

 
 
Top