Similarity solution for natural convection from a moving vertical plate with internal heat generation and a convective boundary condition

Thermal Science

Volumn 15, Issue SUPPL., 2011, Pages

  Makinde, Oluwole Daniel ^a  

^a CAPE PENINSULA UNIVERSITY OF TECHNOLOGY   (South Africa)

Author keywords

Internal heat generation; Local Biot number; Local Grashof number; Moving vertical plate

Indexed keywords

BOUNDARY CONDITIONS; FRICTION; HEAT GENERATION; ITERATIVE METHODS; LINEAR TRANSFORMATIONS; NUSSELT NUMBER; ORDINARY DIFFERENTIAL EQUATIONS; RUNGE KUTTA METHODS;

BIOT NUMBER; CONVECTIVE BOUNDARY CONDITIONS; INTERNAL HEAT GENERATION; LAMINAR NATURAL CONVECTION; LOCAL BIOT NUMBER; LOCAL GRASHOF NUMBER; MOVING VERTICAL PLATE; NATURAL CONVECTION FLOW; SIMILARITY SOLUTION; VERTICAL PLATE;

NATURAL CONVECTION;

EID: 79955132997     PISSN: 03549836     EISSN: None     Source Type: Journal    
DOI: 10.2298/TSCI11S1137M     Document Type: Article

References (10)

1. Ostrach, S., An Analysis of Laminar Free Convection Flow and Heat Transfer about a Flat Plate Parallel to the Direction of the Generating Body Force, NACA Technical Report 1111, 1953.
2. Baker, L., Faw, R. E., Kalacki, F. A., Postaccident Heat Removal - Part I: Heat Transfer within an Internally Heated, Nonboiling Liquid Layer, Nucl. Sci. Eng., 61 (1976), 2, pp. 222-230.
3. Makinde, O. D., On MHD Boundary-Layer Flow and Mass Transfer Past a Vertical Plate in a Porous Medium with Constant Heat Flux, Int. J. Num. Methods for Heat & Fluid Flow, 19 (2009), 3/4, pp. 546-554.
4. Crepeau, J. C., Clarksean, R., Similarity Solutions of Natural Convection with Internal Heat Generation, Trans. ASME, Journal of Heat Transfer, 119 (1997), 5, pp. 184-185.
5. Kao, T. T., Locally Nonsimilar Solution for Laminar Free Convection Adjacent to a Vertical Wall, Trans. ASME, Journal of Heat Transfer, 98 (1976), pp. 321-322.
6. Aziz, A., A Similarity Solution for Laminar Thermal Boundary Layer over a Flat Plate with a Convective Surface Boundary Condition, Commum. Nonlinear Sci. Numer. Simulat., 14 (2009), 4, pp. 1064-1068.
7. Makinde, O. D., Olanrewaju, P. O., Buoyancy Effects on Thermal Boundary Layer over a Vertical Plate with a Convective Surface Boundary Condition, Trans. ASME, Journal of Fluid Engineering, 132 (2010), 1-4, pp. 044502.
8. Jaluria, Y., Natural Convection Heat and Mass Transfer, Pergamon Press, New York, USA, 1980.
9. Sahin, A. Z., Transient Heat Conduction in Semi-Infinite Solid with Spatially Decaying Exponential Heat Generation, Int. Comm. Heat Mass Transfer, 19 (1992), 3, pp. 349-358.
10. Nachtsheim, P. R., Swigert, P., Satisfaction of the Asymptotic Boundary Conditions in Numerical Solution of the System of Nonlinear Equations of Boundary Layer Type, NASA TND-3004, 1965.