The heat function concept introduced by Kimura and Bejan (1983, “The Heatline Visualization of Convective Heat Transfer,” ASME J. Heat Transfer, 105(4), pp. 916–919) for two-dimensional (2D) heat transfer is being extended in this note to three dimensions. It is shown that a heat flux vector potential exists and can be used in three-dimensional (3D) heat convection problems. It is further shown that this heat flux vector potential degenerates to the heat function introduced by Kimura and Bejan (1983, “The Heatline Visualization of Convective Heat Transfer,” ASME J. Heat Transfer, 105(4), pp. 916–919) when the heat convection is two-dimensional.

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heat function concept visualization of convective heat transfer asme j heat transfer strong105strong4 pp 916919 for twodimensional 2d heat transfer threedimensional 3d heat convection heat flux vector potential

Vadasz P. ,.Heat Flux Vector Potential in Convective Heat Transfer. 140 (5),.

Vadasz P. ,"Heat Flux Vector Potential in Convective Heat Transfer" 140

Vadasz P. ,"Heat Flux Vector Potential in Convective Heat Transfer"