Journal ArticleDOI
Similarity solutions of the boundary layer equations for a nonlinearly stretching sheet
F. Talay Akyildiz,Dennis A. Siginer,Kuppalapalle Vajravelu,John R. Cannon,Robert A. Van Gorder +4 more
TLDR
In this article, the existence of a solution of the nonlinear third-order differential equation over 0 < η < ∞ is established, answering the open question of Vajravelu and Cannon (Appl. Math. Comput. 2006; 181:609-618).Abstract:
Consideration is given to a class of nonlinear third-order differential equations arising in fluid flow over a nonlinearly stretching sheet. Existence of a solution of the nonlinear third-order differential equation over 0<η<∞ is established in this paper, answering the open question of Vajravelu and Cannon (Appl. Math. Comput. 2006; 181:609–618). That is, we prove with estimates independent of R for solutions of the third-order differential equation on [0, R]. The existence of a solution on 0<η<∞ follows from the Ascoli–Arzela Theorem. Furthermore, numerical solutions are obtained and presented through graphs, and the influence of the physical parameter on the flow characteristics is discussed. Copyright © 2009 John Wiley & Sons, Ltd.read more
Citations
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Journal ArticleDOI
MHD boundary layer flow and heat transfer over an exponentially stretching sheet embedded in a thermally stratified medium
TL;DR: In this paper, the MHD boundary layer flow and heat transfer towards an exponentially stretching sheet embedded in a thermally stratified medium subject to suction are presented in this analysis.
Journal ArticleDOI
Numerical solution for boundary layer flow due to a nonlinearly stretching sheet with variable thickness and slip velocity
TL;DR: In this paper, the authors presented a numerical solution for the flow of a Newtonian fluid over an impermeable stretching sheet with a power law surface velocity, slip velocity and variable thickness.
Journal ArticleDOI
Effects of partial slip on boundary layer flow past a permeable exponential stretching sheet in presence of thermal radiation
TL;DR: In this article, an analysis of boundary layer flow and heat transfer towards a porous exponential stretching sheet is presented, where velocity and thermal slips are considered instead of no-slip conditions at the boundary.
Book ChapterDOI
Flow past a stretching sheet
TL;DR: In this article, the heat or mass transfer characteristics for boundary layer flows past a stretching sheet are discussed and the similarity transformation is used to obtain the self-similar equations that are then solved numerically.
Journal ArticleDOI
Heat transfer analysis for fluid flow over an exponentially stretching porous sheet with surface heat flux in porous medium
TL;DR: In this article, the boundary layer flow and heat transfer towards an exponentially stretching porous sheet embedded in a porous medium with variable surface heat flux was studied. But the authors did not consider the effect of temperature on the skin-friction coefficient.
References
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Journal ArticleDOI
Flow past a stretching plate
TL;DR: In this paper, a plastischem material fliesst aus einem Spalt with einer Geschwindigkeit, die proportional zum Abstand vom Spalt ist.
Journal ArticleDOI
Boundary‐layer behavior on continuous solid surfaces: I. Boundary‐layer equations for two‐dimensional and axisymmetric flow
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.
Journal ArticleDOI
Boundary‐layer behavior on continuous solid surfaces: III. The boundary layer on a continuous cylindrical surface
TL;DR: In this article, the behavior of laminar and turbulent boundary layers on a moving continuous cylindrical surface is investigated by the integral method, based on assumed velocity profiles that satisfy the appropriate boundary conditions.
Book
Mechanics of Mixtures
TL;DR: In this article, a discussion of a mixture of immiscible fluids is given, and the status of Darcy's law within the context of mixture theory is discussed. And the entropy inequality constitutive theory steady state problems diffusing singular surface wave propagation in solids infused with fluids are discussed.
Journal ArticleDOI
Viscous flow over a nonlinearly stretching sheet
TL;DR: The basic nonlinear differential equation for the velocity field f and the differential equation with variable coefficient for the temperature field @q are solved numerically by using a fourth-order Runge-Kutta integration scheme and it is shown that the heat flow is always from the stretching sheet to the fluid.
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