International Scientific Journal


Effect of heat generation or absorption and thermal radiation on free convection flow and heat transfer over a truncated cone in the presence of pressure work is considered. The governing boundary layer equations are reduced to non-similarity boundary layer equations and solved numerically by using Mathematica technique. Comparisons with previously published work on special cases of the problem are performed and the results are found to be in excellent agreement. The solutions are presented in terms of local skin friction, local Nusselt number, velocity and temperature profiles for values of Prandtl number, pressure work parameter, radiation parameter and heat generation or absorption parameter.
PAPER REVISED: 2013-12-27
PAPER ACCEPTED: 2013-12-30
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THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Issue 2, PAGES [555 - 565]
  1. Merk E.J. and Prinss J.A., Thermal convection in laminar boundary I, Appl. Sci. Res., 4A(1953), pp. 11-24
  2. Merk E.J. and Prinss J.A., Thermal convection in laminar boundary II, App. Sci. Res., 4A(1953), pp.195-206
  3. Braun W.H., Ostrach S., and Heighway J.E., Free Convection Similarity Flows about Two Dimensional and Axisymmetric Bodies with Closed Lower Ends, Int. J. Heat and Mass Transfer, 2(1961), pp.121-135
  4. Hering R.G. and Grosh R.J., Laminar Free Convection from a Non-Isothermal Cone. Int. Heat and Mass Transfer, 5(1962), pp. 1059-1068.
  5. Roy S., Free Convection over a Slender Vertical Cone at High Prandtl Numbers. ASME J. Heat Mass Transfer, 101(1974), pp. 174-176
  6. Na T.Y. and Chiou J.P., Laminar Natural Convection over a Frustum of a Cone, Applied Scientific Research, 35 (1979), pp. 409-421
  7. Alamgir M., Over-All Heat Transfer from Vertical Cones in Laminar Free Convection: An Approximate Method, Transactions of ASME Journal of Heat Transfer, 101(1979), pp. 174- 176
  8. Pantokratoras A., Effect of Viscous Dissipation and Pressure Stress Work in Natural Convection along a Vertical Isothermal Plate, Int. J. Heat Mass Transfer, 46(2003), pp.4979-4983
  9. Alim M.A., Alam Md. M. and Chowdhury M. K., Pressure Work Effect on Natural Convection from a Vertical Circular Cone with Suction and Non-Uniform Surface Temperature. J. Mech. Eng., 36(2006), pp. 6-11
  10. Alam Md.M., Alim M.A. and Chowdhury M.K., Free Convection from a Vertical Permeable Circular Cone with Pressure Work and Non-Uniform Surface Temperature, Nonlinear Analysis Modeling and Control, 261 (2007), pp. 21-32
  11. Hossain M.A., and Paul S.C., Vertical Permeable Circular Cone with Non-Uniform Surface Heat Flux, Heat and Mass Transfer, 37(2001), pp. 167-173
  12. Elbashbeshy E.M.A., Emam T.G., and sayed E.A., Effect of Pressure Work on Free Convection Flow from a Vertical Circular Cone with Variable Surface Heat Flux, STROJNICKY CASOPIS, 63(2012), 3, PP. 169-177
  13. Chamkha A. J., Effects of Heat Generation/Absorption and Thermophoresis on Hydromagnetic Flow with Heat and Mass Transfer over a Flat Surface, Int. J. Numer. Methods Fluid Flow, 10(2000), 4, pp. 432-439
  14. Molla M.M., Hossain M.A. and Yao L.S., Natural Convection Flow along a Vertical Wavy Surface with Uniform Surface Temperature in the Presence Heat Generation/Absorption, Int. J. Thermal Sci., 34(2004), pp. 157-163
  15. Hady F.M., Mohamed R.A. and Mahdy A., MHD Free Convection Flows along a Vertical Wavy Surface with Heat Generation or Absorption Effect, Int. commun. Heat Mass Transfer, 33(2006), pp. 1253-1259
  16. Molla M.M., Hossain M.A. and Paul M.C., Natural Convection Flow from an Isothermal Horizontal Circular Cylinder in the Presence of Heat Generation, Int. J. Eng. Sci., 44(2006), pp.949-955
  17. Bagai S., Effect of Variable Viscosity on Free Convection over a Non-Isothermal Heat Generation, Acta Mech., 169(2004), 187-186
  18. Viskanta R. and Grosh R. J. Boundary Layer in Thermal Radiation Absorbing and Emitting Media, Int. J. Heat Mass Transfer, 5 (1962), pp. 7950-806
  19. Shakhaoath Khan Md., Ifsana Karim, Haider Md. and Ali Biswas, Heat Generation, Thermal Radiation and Chemical Reaction Effects on MHD Mixed Convection Flow over an Unsteady Stretching Permeable Surface, Int. Journal of Basic and Applied Science, 1(2012), 2, pp. 363-377
  20. Shakhaoath Khan Md., Ifsana Karim, Haider Md. and Ali Biswas, Non-Newtonian MHD Mixed Convective Power-Law Fluid Flow over a Vertical Stretching Sheet with Thermal Radiation, Heat Generation and Chemical Reaction Effects, Academic Research International, 3 (2012), 3, pp. 80-92
  21. Ali M. M., Chen, T. S. and Armaly B. F., Natural Convection Interaction in Boundary- Layer Flow over Horizontal Surfaces, AIAA Journal, 22 (1984), pp.1797-1803
  22. Hossain M. A. and Alim M. A., Natural Convection-Radiation Interaction on Boundary Layer Flow along a Thin Vertical Cylinder, Heat Mass Transfer, 32, (1997), pp. 515-520
  23. Hossain M. A. and Rees D. A. S., Free Convection-Radiation Interaction from an Isothermal Plate Inclined at a Small Angle to the Horizontal, Acta Mechanica, 127, (1998), pp. 63-73
  24. Chen CH., MHD Mixed Convection of a Power-Law Fluid Past a Stretching Surface in the Presence of Thermal Radiation and Internal Heat Generation/Absorption. Int. J. of Nonlinear Mechanics, 44 (2008), pp. 296-603
  25. Gebhart B., Effects of Viscous Dissipation in Natural Convection, Journal of Fluid Mech., 14(1962), (2), pp. 225-232
  26. Cebeci T. and Bradshaw P., Physical and Computational Aspects of Convective Heat Transfer, 1st ed. Springer, New York, (1984), pp. 270-275
  27. Na T.Y., Numerical Solution of Natural Convection Flow Past a Non-Isothermal Vertical Flat Plat, Applied Scientific Research 33(1978), pp. 519-543.
  28. Kays W.M. and Crawford M.E., Convective Heat and Mass Transfer, 3rd ed.McGraw- Hill, New York, (1980), pp. 402-410
  29. Lin H.T. and Chen C.C., Mixed Convection on Vertical Plate for Fluids of any Prandtl Number, Warme-und Stoffbertragung, 22 (1988), pp. 159-168

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