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.
Citations
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TL;DR: In this paper, a group analysis has been carried out to study heat and mass transfer characteristics of an incompressible Newtonian fluid having a temperature-dependent viscosity over a vertical stretching surface in the presence of thermal radiation and a chemical reaction.
Abstract: A group analysis has been carried out to study heat and mass transfer characteristics of an incompressible Newtonian fluid having a temperature-dependent viscosity over a vertical stretching surface in the presence of thermal radiation and a chemical reaction. The Rosseland approximation is used to describe the radiative heat flux in the energy equation. The vertical surface is assumed to be permeable so as to allow for possible wall suction or injection. The governing differential equations are derived and transformed using the Lie group analysis. The transformed equations are solved numerically by applying the Runge—Kutta—Gill scheme with the shooting technique. Favorable comparisons with previously published works on various special cases of the problem are obtained
1 citations
TL;DR: In this article, the Riemannian-Liouville fractional derivative model is used to investigate viscoelastic incompressible liquid food flowing through a permeable plate and to generalize Fick's law.
Abstract: In the process of filtration, fluid impurities precipitate/accumulate; this results in an uneven inner wall of the filter, consequently leading to non-uniform suction/injection. The Riemannian-Liouville fractional derivative model is used to investigate viscoelastic incompressible liquid food flowing through a permeable plate and to generalize Fick's law. Moreover, we consider steady-state mass balance during ultrafiltration on a plate surface, and a fractional-order concentration boundary condition is established, thereby rendering the problem real and complex. The governing equation is numerically solved using the finite difference algorithm. The effects of the fractional constitutive models, generalized Reynolds number, generalized Schmidt number, and permeability parameter on the velocity and concentration fields are compared. The results show that an increase in fractional-order α in the momentum equation leads to a decrease in the horizontal velocity. Anomalous diffusion described by the fractional derivative model weakens the mass transfer; therefore, the concentration decreases with increasing fractional derivative γ in the concentration equation.
1 citations
Cites background from "Non-uniform slot injection (suction..."
...Saikrishnan et al [15] examined the free convection and non-uniform mass transfer over a cylinder or a sphere, considering the non-uniform slot blowing/suction effect....
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Posted Content•
TL;DR: In this paper, the boundary layer flow of a visco-elastic fluid along a stretching sheet immersed in a porous medium is considered and boundary layer equations are transformed into ordinary ones and subsequently are solved using the shooting method with Runge-Kutta integration algorithm.
Abstract: The above paper concerns the boundary layer flow of a visco-elastic fluid along a stretching sheet immersed in a porous medium. The plate temperature is different from that of the ambient medium and the fluid viscosity is a function of temperature while the other fluid properties are assumed to be constant. The boundary layer equations are transformed into ordinary ones and subsequently are solved using the shooting method with Runge-Kutta integration algorithm. However, there are two fundamental errors in this paper which are presented below.
Journal Article•
24 Oct 2012-World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering
TL;DR: In this article, an unsteady laminar forced convection water boundary layer flow is considered and the fluid properties such as viscosity and Prandtl number are taken as variables such that those are inversely proportional to temperature.
Abstract: In the present analysis an unsteady laminar forced convection water boundary layer flow is considered. The fluid properties such as viscosity and Prandtl number are taken as variables such that those are inversely proportional to temperature. By using quasi-linearization technique the nonlinear coupled partial differential equations are linearized and the numerical solutions are obtained by using implicit finite difference scheme with the appropriate selection of step sizes. Non-similar solutions have been obtained from the starting point of the stream-wise coordinate to the point where skin friction value vanishes. The effect non-uniform mass transfer along the surface of the cylinder through slot is studied on the skin friction and heat transfer coefficients. Keywords—Boundary layer, heat transfer, non-similar solution, non-uniform mass, unsteady flow.
References
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Book•
01 Jan 1973TL;DR: CRC handbook of chemistry and physics, CRC Handbook of Chemistry and Physics, CRC handbook as discussed by the authors, CRC Handbook for Chemistry and Physiology, CRC Handbook for Physics,
Abstract: CRC handbook of chemistry and physics , CRC handbook of chemistry and physics , کتابخانه مرکزی دانشگاه علوم پزشکی تهران
52,268 citations
Book•
01 Jan 1955
TL;DR: The flow laws of the actual flows at high Reynolds numbers differ considerably from those of the laminar flows treated in the preceding part, denoted as turbulence as discussed by the authors, and the actual flow is very different from that of the Poiseuille flow.
Abstract: The flow laws of the actual flows at high Reynolds numbers differ considerably from those of the laminar flows treated in the preceding part. These actual flows show a special characteristic, denoted as turbulence. The character of a turbulent flow is most easily understood the case of the pipe flow. Consider the flow through a straight pipe of circular cross section and with a smooth wall. For laminar flow each fluid particle moves with uniform velocity along a rectilinear path. Because of viscosity, the velocity of the particles near the wall is smaller than that of the particles at the center. i% order to maintain the motion, a pressure decrease is required which, for laminar flow, is proportional to the first power of the mean flow velocity. Actually, however, one ob~erves that, for larger Reynolds numbers, the pressure drop increases almost with the square of the velocity and is very much larger then that given by the Hagen Poiseuille law. One may conclude that the actual flow is very different from that of the Poiseuille flow.
17,321 citations
5,562 citations
"Non-uniform slot injection (suction..." refers methods in this paper
...Finally, the equations reduced to a system of linear algebraic equations with a block tri-diagonal structure which is solved using Varga’s algorithm [18]....
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Book•
30 Nov 1961
TL;DR: In this article, the authors propose Matrix Methods for Parabolic Partial Differential Equations (PPDE) and estimate of Acceleration Parameters, and derive the solution of Elliptic Difference Equations.
Abstract: Matrix Properties and Concepts.- Nonnegative Matrices.- Basic Iterative Methods and Comparison Theorems.- Successive Overrelaxation Iterative Methods.- Semi-Iterative Methods.- Derivation and Solution of Elliptic Difference Equations.- Alternating-Direction Implicit Iterative Methods.- Matrix Methods for Parabolic Partial Differential Equations.- Estimation of Acceleration Parameters.
5,317 citations
Book•
15 Aug 2003
TL;DR: Advances in Heat Transfer as mentioned in this paper provides in-depth review articles over a broader scope than in traditional journals or texts, which serve as a broad review for experts in the field and are also of great interest to non-specialists who need to keep up to date with the results of the latest research.
Abstract: Advances in Heat Transfer fills the information gap between regularly scheduled journals and university-level textbooks by providing in-depth review articles over a broader scope than in traditional journals or texts. The articles, which serve as a broad review for experts in the field are also of great interest to non-specialists who need to keep up-to-date with the results of the latest research. This serial is essential reading for all mechanical, chemical, and industrial engineers working in the field of heat transfer, or in graduate schools or industry. * Compiles the expert opinions of leaders in the industry* Fills the information gap between regularly scheduled journals and university-level textbooks by providing in-depth review articles over a broader scope than in traditional journals or texts* Essential reading for all mechanical, chemical, and industrial engineers working in the field of heat transfer, or in graduate schools or industry
1,591 citations