Flow past a stretching plate
01 Jul 1970-Zeitschrift für Angewandte Mathematik und Physik (Birkhäuser-Verlag)-Vol. 21, Iss: 4, pp 645-647
TL;DR: In this paper, a plastischem material fliesst aus einem Spalt with einer Geschwindigkeit, die proportional zum Abstand vom Spalt ist.
Abstract: Eine Platte aus plastischem Material fliesst aus einem Spalt mit einer Geschwindigkeit, die proportional zum Abstand vom Spalt ist. Eine exakte Losung der Grenzschichtgleichungen fur die von der Platte erzeugte Luftbewegung wird gegeben. Oberflachenreibung und Warmeleitungskoeffizient werden berechnet.
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TL;DR: In this article, a similarity solution is presented which depends on the Prandtl number Pr, Lewis number Le, Brownian motion number Nb and thermophoresis number Nt.
1,565 citations
TL;DR: In this article, the boundary layer flow induced in a nanofluid due to a linearly stretching sheet is studied numerically and the transport equations include the effects of Brownian motion and thermophoresis.
1,086 citations
01 Jan 2011
TL;DR: In this paper, the non-similar solutions are presented which depend on the Magnetic parameter M respectively, the obtained equations have been solved by explicit finite difference method and temperature and concentration profiles are discussed for the different values of the above parameters with different time steps.
Abstract: Unsteady heat and mass flow of a nanofluid past a stretching sheet with thermal radiation in the presence of magnetic field is studied. To obtain non-similar equation, continuity, momentum, energy and concentration equations have been non-dimensionalised by usual transformation. The non-similar solutions are presented here which depends on the Magnetic parameter M respectively . The obtained equations have been solved by explicit finite difference method. The temperature and concentration profiles are discussed for the different values of the above parameters with different time steps.
956 citations
TL;DR: In this paper, temperature dependent thermal conductivity in stagnation point flow toward a nonlinear stretched surface with variable thickness is considered, and convergence series solution for flow of Jeffrey fluid and heat and mass transfer are developed.
649 citations
TL;DR: In this article, the similarity solutions describing the steady plane (flow and thermal) boundary layers on an exponentially stretching continuous surface with an exponential temperature distribution are examined both analytically and numerically.
Abstract: The similarity solutions describing the steady plane (flow and thermal) boundary layers on an exponentially stretching continuous surface with an exponential temperature distribution are examined both analytically and numerically. The mass- and heat-transfer characteristics of these boundary layers are described and compared with the results of earlier authors, obtained under the more familiar power-law boundary conditions.
617 citations
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TL;DR: In this article, the boundary-layer behavior on continuous surfaces is examined, and the basic differential and integral momentum equations of boundary layer theory are derived for such surfaces, for both laminar and turbulent flow in the boundary layer.
Abstract: This study deals with boundary-layer flow on continuous solid surfaces. Flow of this type represents a new class of boundary-layer problems, with solutions substantially different from those for boundary-layer flow on surfaces of finite length. In this paper the boundary-layer behavior on continuous surfaces is examined, and the basic differential and integral momentum equations of boundary-layer theory are derived for such surfaces. In subsequent papers these equations will be solved for the boundary layer on a moving continuous flat surface and a moving continuous cylindrical surface, for both laminar and turbulent flow in the boundary layer.
2,061 citations