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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: The boundary layer equations of motion for the case of a cylindrical wall-jet were investigated for the early part of the flow or when the boundary layer is thin compared to the cylinder as mentioned in this paper.

3 citations

Book ChapterDOI
26 Oct 2016
TL;DR: In this article, the dynamics of cohesive grain assembly has been investigated through particle-based simulation by adding new interaction forces to the contact model, which succeeded in capturing the primary mode of bulk dynamics in several surface flow problems.
Abstract: This chapter summarizes some important models and numerical studies for several types of steady flows commonly investigated in the literature. Dynamics of grain and power flows has been extensively investigated for their common appearances in industrial processes and natural events. For certain types of flows, a similarity solution may be found, and numerical solution can always be sought for more complex cases. This scheme succeeded in capturing the primary mode of bulk dynamics in several surface flow problems. When a granular assembly moves fast at dilute to moderate solid volume concentration, most particle particle interactions are uncorrelated repulsive binary collisions with contact durations much shorter than the timescale associated with bulk shear rate. Such flow is known as a rapid granular flow in collisional regime. Like dry granular materials, the dynamics of cohesive grain assembly has been investigated through particle-based simulation by adding new interaction forces to the contact model.

3 citations

Journal ArticleDOI
TL;DR: In this paper, the effects of chemical reaction, thermal stratification, Soret and Dufour numbers on magneto-hydrodynamic free convective heat and mass transfer of a viscous, incompressible, and electrically conducting fluid on a vertical stretching surface embedded in a saturated porous medium are presented.
Abstract: The effects of chemical reaction, thermal stratification, Soret and Dufour numbers on magneto-hydrodynamic free convective heat and mass transfer of a viscous, incompressible,and electrically conducting fluid on a vertical stretching surface embedded in a saturated porous medium are presented. A similarity transform is used to reduce the governing partial differential equations into a system of nonlinear ordinary differential equations, which is solved analytically by means of homotopy analysis method. The results are compared with numerical predictions obtained by fourth order Runge-Kutta method. Close agreement is observed between the two sets of results. The method is led to an expression, which is acceptable for all values of effective parameters and controls the convergence of the solution.

3 citations

Proceedings ArticleDOI
04 Jan 2010
TL;DR: In this paper, the authors proposed a model to solve the extended problem of Brode (Brode, H. L., \Numerical Solutions of Spherical Blast Waves," J. Appl. Phys., Vol. 26, 1955, pp. 766-775), namely an explosion generated by a spherical charge containing a compressed gas-particle mixture.
Abstract: ow model is proposed in the present study to solve the extended problem of Brode (Brode, H. L., \Numerical Solutions of Spherical Blast Waves," J. Appl. Phys., Vol. 26, 1955, pp. 766-775), namely an explosion generated by a spherical charge containing a compressed gas-particle mixture. One-way coupled simulations are carried out for several initial conditions and particle properties. A scaling analysis is performed with the goal of obtaining a similarity solution.

3 citations

Journal ArticleDOI
TL;DR: In this article, an exact solution has been found in plane stagnation flow for a viscoelastic fluid obeying the Giesekus model and the flow was found to render itself to a local similarity solution in the vicinity of the stagnation point.
Abstract: An exact solution has been found in plane stagnation flow for a viscoelastic fluid obeying the Giesekus model. The flow was found to render itself to a local similarity solution in the vicinity of the stagnation point. The solution so obtained could easily enable one to investigate the effects of parameters such as Reynolds number, Weissenberg number and the mobility factor on the velocity and stress fields. Unlike Newtonian and Maxwellian fluids, the thickness of the boundary layer was found to be a decreasing function of the distance from the stagnation point. It will be shown that this effect may have roots in the extensional behavior of the fluid.

3 citations


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