Summary
The heat transfer characteristics of a second-order fluid over a continuous stretching surface with internal heat generation or absorption is analyzed. Two cases are studied, namely (i) the sheet with prescribed surface temperature (PST-case) and (ii) the sheet with prescribed wall heat flux (PHF-case). The solution and heat transfer characteristics are obtained in terms of Kummer's functions. For large values of Prandtl number a uniform approximation is given in terms of parabolic cylinder functions with a boundary layer of width\(\sqrt {{1 \mathord{\left/ {\vphantom {1 {\Pr }}} \right. \kern-\nulldelimiterspace} {\Pr }}} \) in both the PST and PHF cases. It is also shown that no boundary layer type solution exists for small Prandtl number.
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Rollins, D., Vajravelu, K. Heat transfer in a second-order fluid over a continuous stretching surface. Acta Mechanica 89, 167–178 (1991). https://doi.org/10.1007/BF01171253
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DOI: https://doi.org/10.1007/BF01171253