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The problem of forced convection along an isothermal, constantly moving plate is a classical problem of fluid mechanics that has been solved for the first time in 1961 by Sakiadis (1961). Thereafter, many solutions have been obtained for…

Fluid Dynamics · Physics 2007-05-23 Asterios Pantokratoras

In the above paper the authors treat the boundary layer flow along a stationary, vertical, permeable, flat plate within a vertical free stream. Fluid is sucked or injected through the vertical plate. The fluid species concentration at the…

Fluid Dynamics · Physics 2014-07-30 Asterios Pantokratoras

In the above paper the author treats the boundary layer flow along a vertical flat plate, immersed in a Darcy Brinkman Forchheimer porous medium. The porosity and the permeability of the porous medium are variable across the boundary layer.…

Fluid Dynamics · Physics 2014-04-23 Asterios Pantokratoras

In the above paper [Chaos, Solitons & Fractals, 13 (2002) 1843-1850] the author treats the boundary layer flow along a vertical isothermal plate of an electrically conducting fluid. The plate lies in a vertical free stream of constant…

Fluid Dynamics · Physics 2007-05-23 Asterios Pantokratoras

Comment on Conjugate heat transfer of mixed convection for viscoelastic fluid past a stretching sheet, by Kai-Long Hsiao and Guan-Bang Chen, Mathematical Problems in Engineering, Volume 2007, article 17058, 21 pages

Fluid Dynamics · Physics 2008-07-18 Asterios Pantokratoras

In the paper [Chaos, Solitons & Fractals, 2006, vol. 30, pp. 851-858]the authors treat the boundary layer flow of a micropolar fluid along a horizontal flat plate with blowing or suction. The fluid viscosity and thermal conductivity are…

Fluid Dynamics · Physics 2007-05-23 Asterios Pantokratoras

Mixed Convection inside a cavity resulting from thermal buoyancy force under local modulation via rotating flat plate has been investigated. The present model consists of a square cavity with the left and right vertical walls fixed at…

Fluid Dynamics · Physics 2024-06-19 Md. Azizul Hakim , Atiqul Islam Ahad , Abrar Ul Karim , Mohammad Nasim Hasan

While studying the viscoelastic flow past an infinite plate with suction and constant heat flux between fluid and plate, Raptis and Tziyanidis gave the solution of a pair of equations for velocity and temperature as functions of distance.…

Fluid Dynamics · Physics 2021-06-02 Abhik Kumar Sanyal , D. Ray

The problem of a steady forced convection thermal boundary-layer past a flat plate with a prescribed surface heat flux is investigated both analytically and numerically. In view of the present formulation, the governing equations reduce to…

Fluid Dynamics · Physics 2014-12-01 Jian-Jun Shu , Ioan Pop

The present study numerically explores the mixed convection phenomena in a differentially heated ventilated square cavity with active flow modulation via a rotating plate. Forced convection flow in the cavity is attained by maintaining an…

The problem of steady mixed convection boundary-layer flow on a cooled vertical permeable circular cylinder embedded in a fluid-saturated porous medium is studied. Here, we evaluate the flow and heat transfer characteristics numerically for…

Fluid Dynamics · Physics 2018-03-19 Jian-Jun Shu , Qi-Wen Wang , Ioan Pop

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…

Fluid Dynamics · Physics 2007-06-13 Asterios Pantokratoras

Since the 1930s, theories of skin-friction drag from plates with rough surfaces have been based by analogy to turbulent flow in pipes with rough interiors. Failure of this analogy at slow velocities has frustrated attempts to create a…

Fluid Dynamics · Physics 2024-08-20 Aubrey G. Jaffer

In this work, a thermal energy transfer problem in a one-dimensional multilayer body is theoretically analyzed, considering diffusion, advection, internal heat generation or loss linearly dependent on temperature in each layer, as well as…

Fluid Dynamics · Physics 2025-01-16 Guillermo Federico Umbricht , Domingo Alberto Tarzia , Diana Rubio

Approximate analytical solution of two dimensional problem for stationary Navier-Stokes, continuity and Fourier-Kirchhoff equations describing free convective heat transfer from isothermal surface of half infinite vertical plate is…

Fluid Dynamics · Physics 2012-10-23 Sergey Leble , Witold M. Lewandowski

Using boundary-layer theory, natural convection heat transfer formulas which are accurate over a wide range of Rayleigh numbers ($Ra$) were developed in the 1970s and 1980s for vertical and downward-facing plates. A comprehensive formula…

Fluid Dynamics · Physics 2023-02-06 Aubrey Jaffer

We explore the instabilities developed in a fluid in which viscosity depends on temperature. In particular, we consider a dependency that models a very viscous (and thus rather rigid) lithosphere over a convecting mantle. To this end, we…

Fluid Dynamics · Physics 2014-02-13 Jezabel Curbelo , Ana M. Mancho

This investigation derives formulas to predict the mixed convective surface conductance of a flat isotropic surface roughness having a convex perimeter in a Newtonian fluid with a steady forced flow in the plane of that roughness. Heat…

Fluid Dynamics · Physics 2025-02-04 Aubrey G. Jaffer , Martin S. Jaffer

In this paper we investigate the similarity solutions of a plane mixed convection boundary layer flow near a semi-vertical plate, with a prescribed power law function of the distance from the leading edge for the temperature, that is…

Classical Analysis and ODEs · Mathematics 2007-05-23 B. Brighi , J. -D. Hoernel

Motivated by recent experimental observations, we consider a steady-state Prandtl-Blasius boundary layer flow with polymers above a slightly heated horizontal plate and study how the heat transport might be affected by the polymers. We…

Chaotic Dynamics · Physics 2015-05-27 Roberto Benzi , Emily S. C. Ching. , Vivien W. S. Chu
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