Journal ArticleDOI
The cooling of a low-heat-resistance sheet moving through a fluid
TLDR
In this article, a coordinate expansion is used to converge for all values of the expansion variable, and an alternative series expansion is derived to derive solutions valid for small or large values of Prandtl number.Abstract:
infinite expanse of viscous fluid. The heat resistance of the sheet is assumed to ble so small that the temperature can be considered uniform across the sheet. Precise conditions for this assumption to be valid are derived. The problem is solved first by means of a coordinate expansion, which can be proved to converge for all values of the expansion variable. Since this series cannot be used numerically downstream, an alternative series expansion, which applies downstream, is also derived. Special sections are devoted to deriving solutions valid for small or large values of the Prandtl number. Finally, expressions are obtained for the Nusselt number and the cooling length. It is found that cooling is determined by the smaller of two diffusivities, namely, the kinematic viscosity and the thermal diffusivity.read more
Citations
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Falkner–Skan boundary layer flow of a power-law fluid past a stretching wedge
Adrian Postelnicu,Ioan Pop +1 more
TL;DR: The steady two-dimensional laminar boundary layer flow of a power-law fluid past a permeable stretching wedge beneath a variable free stream is studied and it is found that dual solutions exist for each value of f0, m and n considered in λ − f″(0) parameter space.
Journal ArticleDOI
The cooling of a low-heat-resistance stretching sheet moving through a fluid: A rejoinder
TL;DR: In this paper, it is shown that there is no loss of accuracy in the higher order perturbations, as claimed by Kuiken, and a comparison of the results of Euler transformation with those of Kuiken (based on direct and inverse series) show the agreement to four places of decimal for all values of steamwise distances.
Journal ArticleDOI
Flow and heat transfer in a moving fluid over a moving flat surface
TL;DR: In this article, a numerical analysis of the momentum and heat transfer of an incompressible fluid past a parallel moving sheet based on composite reference velocity U is carried out, where a single set of equations has been formulated for both momentum and thermal boundary layer problems.
Journal ArticleDOI
Abkühlungscharakteristik einer gut wärmeleitenden Platte, die bei der Bewegung durch ein Fluid gestreckt wird
N. Afzal,I. S. Varshney +1 more
TL;DR: In this article, the Abkuhlungsverhalten einer gut warmeleitenden Platte, die durch ein Fluid bewegt und dabei nach einem beliebigen Potenzgesetz gestreckt wird, wurde untersucht.
Journal ArticleDOI
Mixed convection flow over a vertical power‐law stretching sheet
TL;DR: In this article, the authors considered steady two-dimensional mixed convection flow along a vertical semi-infinite power-law stretching sheet, where the velocity and temperature of the sheet are assumed to vary in a power•law form.
References
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Journal ArticleDOI
Handbook of Mathematical Functions
Book
Conduction of Heat in Solids
H. S. Carslaw,John Conrad Jaeger +1 more
TL;DR: In this paper, a classic account describes the known exact solutions of problems of heat flow, with detailed discussion of all the most important boundary value problems, including boundary value maximization.