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Forced Convection Thermal Boundary Layer Transfer for Non-Isothermal Surfaces Using the Modified Merk Series

DOI: 10.4236/ojfd.2014.42018, PP. 241-250

Keywords: Boundary Layer, Non-Isothermal, Similarity Solutions, Power-Law

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Abstract:

The Chao and Fagbenle’s modification of Merk series has been employed for the analysis of forced convection laminar thermal boundary layer transfer for non-isothermal surfaces. In addition to the Prandtl number (Pr) and the pressure gradient (∧), a third parameter (temperature parameter, γ ) was introduced in the analysis. Solutions of the resulting universal functions for the thermal boundary layer have been obtained for Pr of 0.70, 1.0 and 10.0 and for a range of ∧ . The results obtained for the similarity equations agreed with published results within very close limits for all the ∧’s investigated.

References

[1]  Sheela-Francisca, J., Tso, C. and Rilling, D. (2012) Heat Transfer with Viscous Dissipation in Couette-Poiseuille Flow under Asymmetric Wall Heat Fluxes. Open Journal of Fluid Dynamics, 2, 111-119.
http://dx.doi.org/10.4236/ojfd.2012.24011
[2]  Nayfeh, A.H. (1973) Perturbation Methods. John-Wiley & Sons, Inc., Hoboken.
[3]  Schlichting, H. (1968) Boundary-Layer Theory. 6th Edition, McGraw-Hill Book Company, New York.
[4]  Merk, H.J. (1959) Rapid Calculations for Boundary-Layer Transfer Using Wedge Solutions and Asymptotic Expansions. Journal of Fluid Mechanics, 5, 460-480.
http://dx.doi.org/10.1017/S0022112059000313
[5]  Meksyn, D. (1961) New Methods in Laminar Boundary-Layer Theory. Pergamon Press, London.
[6]  Gortler, H. (1957) A New Series for the Calculation of Steady Laminar Boundary Layer Flows. Journal of Math. Mech, 6, 1-66.
[7]  Chao, B.T. and Fagbenle, R.O. (1974) On Merk’s Method of Calculating Boundary Layer Transfer. International Journal of Heat and Mass Transfer, 17, 223-240. http://dx.doi.org/10.1016/0017-9310(74)90084-2
[8]  Fagbenle, R.O. (1973) On Merk’s Method of Analyzing Momentum, Heat and Mass Transfer in Laminar Boundary Layers. Ph.D. Thesis, University of Illinois at Urban-Champaign, Urbana.
[9]  Cameron, M.R. and De Witt, K.J. (1991) Mixed Convection from Two-Dimensional and Axisymmetric Bodies of Arbitrary Contour. Trends in Heat, Mass and Momentum Transfer, 1.
[10]  Cameron, M.R., Jeng, D.R. and DeWitt, K.J. (1991) Mixed Forced and Natural Convection from Two-Dimensional or Axisymmetric Bodies of Arbitrary Contour. International Journal of Heat and Mass Transfer, 34, 582-587.
http://dx.doi.org/10.1016/0017-9310(91)90276-K
[11]  Meissner, D.L., Jeng, D.R. and De Witt, K.J. (1994) Mixed Convection to Power-Law Fluids from Two-Dimensional or Axisymmetric Bodies. International Journal of Heat and Mass Transfer, 37, 1475-1485.
http://dx.doi.org/10.1016/0017-9310(94)90149-X
[12]  Tien-Chen, A.C., Jeng, D.R. and Dewitt, K.J. (1988) Natural Convection to Power-Law Fluids from Two-Dimensional or Axisymmertical Bodies of Arbitrary Contour. International Journal of Heat and Mass Transfer, 31, 615-624.
http://dx.doi.org/10.1016/0017-9310(88)90043-9
[13]  Fagbenle, R.O. and Falana, A. (2005) Thermal Boundary Layer Transfer for Non-Isothermal Surfaces Using the Modified Merk Series of Chao and Fagbenle. The 4th International Conference on Heat Transfer, Fluid Mechanics, and Thermodynamics, Cairo.
[14]  Falana, A. (2013) Forced Convection Thermal Boundary Layer Transfer for Non-Isothermal Surfaces Using the Modified Merk Series. Ph.D. Thesis, University of Ibadan, Ibadan.

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