Non-uniform slot injection (suction) into water boundary layers over (i) a cylinder and (ii) a sphere
TL;DR: In this article, the effect of non-uniform slot injection (suction) into steady two-dimensional and axi-symmetric laminar boundary layers with variable viscosity and Prandtl number was investigated.
About: This article is published in International Journal of Engineering Science.The article was published on 2003-07-01. It has received 44 citations till now. The article focuses on the topics: Laminar flow & Prandtl number.
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TL;DR: Roughly one in six of Walsh's 281 publications are included, photographically reproduced, and reproduction is excellent except for one paper from 1918, which is an obituary.
Abstract: a 'sleeper', receiving only modest attention for 50 years before emerging as a cornerstone of communications engineering in more recent times. Roughly one in six of Walsh's 281 publications are included, photographically reproduced. Reproduction is excellent except for one paper from 1918. The book also reproduces three brief papers about Walsh and his work, by W. E. Sewell, D. V. Widder and Morris Marden. The first two were written for a special issue of the SIAM Journal celebrating Walsh's 70th birthday; the third is an obituary.
676 citations
TL;DR: In this article, a steady two-dimensional flow of an electrically conducting incompressible fluid over a heated stretching sheet is considered, where the flow is permeated by a uniform transverse magnetic field.
204 citations
TL;DR: In this article, a similarity analysis is performed to investigate the structure of the boundary layer stagnation-point flow and heat transfer over a stretching sheet in a porous medium subject to suction/blowing and in the presence of internal heat generation/absorption.
139 citations
TL;DR: In this article, the authors considered free convective boundary layer flow and heat transfer of a fluid with variable viscosity over a porous stretching vertical surface in presence of thermal radiation, and the symmetry groups admitted by the corresponding boundary value problem are obtained by using a special form of Lie group transformations viz. scaling group of transformations.
114 citations
TL;DR: In this paper, the symmetry groups admitted by the corresponding boundary value problem are obtained by using Lie's scaling group of transformations, which are used to convert the partial differential equations of the governing equations into self-similar non-linear ordinary differential equations.
111 citations
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TL;DR: In this paper, the structure of a supersonic laminar boundary layer near a flat plate is examined when fluid is injected into it, normal to the surface, with velocity $O(\epsilon ^{3}U\_{\infty}^{\ast})$ over a distance $O(L)
Abstract: The structure of a supersonic laminar boundary layer near a flat plate is examined when fluid is injected into it, normal to the surface, with velocity $O(\epsilon ^{3}U\_{\infty}^{\ast})$ over a distance $O(\epsilon ^{3}L)$. Here $U\_{\infty}^{\ast}$ is the undisturbed velocity of the fluid, $L$ is the plate length and $\epsilon ^{-8}$ is a representative Reynolds number of the flow. It is found that the pressure rises upstream of the injection region and that in all the cases fully computed the blowing takes place in a favourable pressure gradient. Afterwards the pressure rises to its undisturbed value. Further incomplete studies suggest that in more extreme conditions, e.g. longer slots, the pressure gradient can be adverse just downstream of the start of the blow and that separation can even occur there. The analytical discussion rests heavily on the notion of the triple-deck, a subdivision of the boundary layer suitable for investigating its response to sudden changes in boundary conditions. Extensive numerical work is also required and the methods devised fail when the boundary layer separates at the onset of the blow. The relation between this type of injection and weak plate injection where the blowing velocity is $O(\epsilon ^{4}U_{\infty}^{\ast})$ and extends over a distance $O(L)$ is also considered.
56 citations
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TL;DR: In this article , a large-eddy simulation of the turbulent wake generated by a horizontal circular cylinder in free-surface flows of increasing shallowness with submergence-to-diameter ratios between 0.5 and 2.1 is investigated.
Abstract: The turbulent wake generated by a horizontal circular cylinder in free-surface flows of increasing shallowness with submergence-to-diameter ratios between 0.5 and 2.1 are investigated using large-eddy simulation. At Froude number ( 𝐹𝑟 ) = 0.26, the free-surface deformation is small with little influence on the wake, whereas at 𝐹𝑟 = 0.53 there is a drop in the free-surface downstream of the cylinder that impacts the coherence of the vortex shedding. Irrespective to the relative submergence, the close location of the cylinder to the bottom wall generates an asymmetric von-Kármán vortex street. Proper Orthogonal Decomposition (POD) is used to analyse the spatio-temporal coherence of the turbulent structures shed in the cylinder wake. The spatial patterns of the first two POD modes, those containing the most energy, depict the von-Kármán vortices. As 𝐹𝑟 increases, the energy content of the first pair of POD modes decreases from 56% at 𝐹𝑟 = 0.26 to 26.8% at 𝐹𝑟 = 0.53, as large-scale vortices lose coherence more rapidly with shallower conditions. This energy redistribution leads to the smaller flow structures to contain a relatively higher energy when 𝐹𝑟 is larger. The frequency of the dominating vortex shedding determined from the spectra of the POD temporal coefficients unveils that the first two coefficients feature a dominant peak at the von-Kármán vortex shedding frequency. At 𝐹𝑟 < 0.45, the reconstructed flow field using the first 20 POD modes agrees well with the instantaneous velocities from LES, whereas free-surface effects on the wake dynamics at increasing 𝐹𝑟 requires more POD modes to reconstruct the flow field with reduced error.
46 citations
Journal Article•
31 citations
"Non-uniform slot injection (suction..." refers methods in this paper
...A review of non-similarity solution methods along with citations of some relevant publications is given by Dewey and Gross [1]....
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TL;DR: In this article, the influence of temperature-dependent viscosity and Prandtl number on the unsteady laminar nonsimilar forced convection flow over two-dimensional and axisymmetric bodies has been examined.
24 citations
TL;DR: In this paper, the problem of fluid injection into a steady, subsonic, laminar, boundary layer flow over a flat plate at zero angle of attack is formulated within the context of the triple deck theory for asymptotic analysis of strong slot injection for large Reynolds number.
23 citations