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Similarity solution

About: Similarity solution is a research topic. Over the lifetime, 2074 publications have been published within this topic receiving 59790 citations.


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Journal ArticleDOI
TL;DR: In this article, the characteristics of flow of Reiner-Philippoff fluid over a nonlinearly stretching sheet with variable thickness were investigated, and the similarity solution of associated boundary layer equation was obtained to examine the effects of non-uniform surface on the flow of REINFORCE fluid.
Abstract: The characteristics of flow of Reiner–Philippoff fluid over a nonlinearly stretching sheet with variable thickness are investigated in this article. The similarity solution of associated boundary layer equation is obtained to examine the effects of non-uniform surface on the flow of Reiner–Philippoff fluid. It is worth mentioning that the skin friction is decreasing with non-uniform surface parameter. Furthermore, skin friction is an increasing function of Bingham number for dilatant fluid, a decreasing function for pseudo-plastic, and a constant function for viscous fluid.

19 citations

Journal ArticleDOI
01 Jun 1970
TL;DR: In this paper, an exact similarity solution of the point explosion problem in the case when the total energy of the shock wave that is produced is not constant but decreases with time and when the loss due to radiation escape is significant was found.
Abstract: We have found an exact similarity solution of the point explosion problem in the case when the total energy of the shock wave that is produced is not constant but decreases with time and when the loss due to radiation escape is significant. We have compared the results of our exact solution with those of exact numerical solutions of Elliot and Wang and have explained the cause why our solution differs from theirs in certain aspects.

19 citations

Journal ArticleDOI
TL;DR: In this paper, the similarity solution for the problem of mixed convection boundary layer flow adjacent to a stretching vertical sheet in an incompressible electrically conducting fluid in the presence of a transverse magnetic field is presented.
Abstract: The similarity solution for the problem of mixed convection boundary layer flow adjacent to a stretching vertical sheet in an incompressible electrically conducting fluid in the presence of a transverse magnetic field is presented. It is assumed that the sheet is stretched with a power-law velocity and is subjected to a variable surface heat flux. The governing partial differential equations are first transformed into a system of non-linear ordinary differential equations, before being solved numerically by the Keller-box method. The numerical results obtained are then compared with previously reported cases available in the literature as well as the series solution for certain values of parameters, to support their validity. The effects of the governing parameters on the flow field and heat transfer characteristics are obtained and discussed.

19 citations

Journal ArticleDOI
TL;DR: In this article, the authors utilized the usual von-Karman variables to transform the governing equations of fluid motion and heat transfer into self-similar differential equations and measured the degree of dependence of fluid viscosity on temperature.
Abstract: Impact of variable fluid properties on heat transfer in Bodewadt flow with wall suction is the main focus of present article. Recent studies have predicted that energy equation in Bodewadt flow can have physically compatible solution only when disk is porous. We utilize the usual von-Karman variables to transform the governing equations of fluid motion and heat transfer (with variable properties) into self-similar differential equations. The final problem comprises of a parameter θ e that measures the degree of dependence of fluid viscosity on temperature. A numerical approach is pursued to determine velocity components, wall stresses, temperature and heat transfer rate from the disk. Wall suction velocity is found to have a pivotal role on the solutions. The main outcome of the study is that fluid velocity and temperature around the disk are considerably altered by varying the parameter θ e . The deviations of present results from those obtained with constant fluid properties are deliberated. Present results are in perfect agreement with the available literature in a limiting sense.

19 citations

Journal ArticleDOI
TL;DR: In this article, the similarity solutions for the steady laminar incompressible boundary layer equations governing the magnetohydrodynamic (MHD) flow near the forward stagnation point of two-dimensional and axisymmetric bodies were investigated.

19 citations


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Metrics
No. of papers in the topic in previous years
YearPapers
202313
202238
202141
202045
201947
201850