Topic
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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21 Jul 2017
TL;DR: In this article, a similar similarity technique is used to solve for the laminar natural convection heat transfer for rarefied flows over a linearly vertical stretched surface, where the flow is affected by flow parameters, namely, velocity slip (K1), temperature jump (K2), and the Prandtl number (Pr).
Abstract: Similarity technique is used to solve for the laminar natural convection heat transfer for rarefied flows over a linearly vertical stretched surface. Such flows have significant importance in many engineering and manufacturing applications. It is found that the flow is affected by flow parameters, namely, velocity slip (K1), temperature jump (K2), and the Prandtl number (Pr).
1 citations
TL;DR: In this article, the problem of spray/droplets dynamics in a downstream decelerating boundary layer accompanied by evaporation and wall suction is treated analytically and a similarity approach is employed and explicit expressions are obtained for the distribution of the host-gas velocity and for the distributions of the liquid phase.
Abstract: The problem of spray/droplets dynamics in a downstream decelerating boundary layer accompanied by evaporation and wall suction is treated analytically. A similarity approach is employed and explicit expressions are obtained for the distribution of the host-gas velocity and for the distribution of the liquid phase. Several options are considered in terms of evaporation, including the possibilities of constant evaporation in the lateral direction of the boundary layer and of evaporation dependent on proximity to the wall. The results reveal the possibility that, under certain conditions, the liquid phase concentration reaches an extremum inside the boundary layer domain, rather than at the wall or in the free stream.
1 citations
Journal Article•
05 Apr 2015-World Academy of Science, Engineering and Technology, International Journal of Mechanical, Aerospace, Industrial, Mechatronic and Manufacturing Engineering
TL;DR: In this paper, an approximate solution for the velocity and temperature distributions in the flow along the horizontal surface is developed, which exploits the hydrodynamic similarity solution for thin film flow, which may provide a valuable basis for assessing flow and heat transfer in more complex settings.
Abstract: —A cold, thin film of liquid impinging on an isothermal hot, horizontal surface has been investigated. An approximate solution for the velocity and temperature distributions in the flow along the horizontal surface is developed, which exploits the hydrodynamic similarity solution for thin film flow. The approximate solution may provide a valuable basis for assessing flow and heat transfer in more complex settings.
1 citations
06 Nov 2006
TL;DR: A unified hypersonic/supersonic similarity solution has been obtained based on a Perturbed Euler Formulation (PEF) according to Lighthill's wedge perturbation method as mentioned in this paper.
Abstract: A unified hypersonic/supersonic similarity solution has been obtained based on a Perturbed Euler Formulation (PEF) according to Lighthill’s wedge perturbation method. The PEF similarity is derived from a pressure-based ordinary differential equation through a quasiconical coordinate transformation. This similarity yields a complete set of shock shape and pressure field solutions in closed form and applies to either concave or convex bodies with any thickness for all shock-attached Mach numbers. It is shown that a power-law body results a power-law shock of the same order and with the power-law pressure solution one order lower. The PEF removes the previous assumptions of hypersonic small disturbance theory (HSDT), hence its similarity results a shock distance further away from the body than those of HSDT by Cole and Hui. Comparisons of PEF solutions with available test and computed results show very good agreement. In addition, Mellin transform of the PEF similarity suggests a solution of a new class of bodies. For a convex body, real gas effect is found to promote the body aerodynamic efficiency. As the PEF similarity furnishes an exact solution in closed form, it offers a rapid means for hypersonic lifting surface design optimization. Such a development is currently underway.
1 citations
TL;DR: In this paper, the effects of a circular magnetic field on a rotating conducting fluid were examined using the least change secant update quasi-Newton technique, and the equations of motions were solved numerically using a least change semant update (LSU) technique.
Abstract: This paper examines the effects of a circular magnetic field on a rotating conducting fluid. The fluid is rotating with a uniform angular velocity ω at infinity and is in contact with a stationary infinite disk. The equations of motions are solved numerically using a least change secant update quasi-Newton technique. The effects of the parameters α (ratio of kinematic viscosity to magnetic diffusivity) and β (ratio of magnetic field strength to angular velocity of the fluid) on the flow are presented graphically.
1 citations