Thermal constriction resistance with convective boundary conditions—1. Half-space contacts

1988 ◽  
Vol 31 (9) ◽  
pp. 1861-1872 ◽  
Author(s):  
T.F. Lemczyk ◽  
M.M. Yovanovich
Keyword(s):  
Boundary Conditions ◽  
Half Space ◽  
Convective Boundary Conditions ◽  
Convective Boundary ◽  
Constriction Resistance

Constriction Resistance in Rectangular Bodies

1991 ◽  
Vol 113 (4) ◽  
pp. 392-396 ◽  
Author(s):  
Matthew John M. Krane
Keyword(s):  
Boundary Conditions ◽  
Constant Temperature ◽  
Three Dimensional ◽  
Convective Boundary Conditions ◽  
Convective Boundary ◽  
Flux Lines ◽  
Constriction Resistance ◽  
Opposite Face ◽  
Overall Resistance

Steady conduction equations are solved for two and three-dimensional rectangular bodies with a constant temperature sink and heat applied over a portion of the opposite face. The solutions, with previously published solutions to similar bodies with convective boundary conditions at the sink, are presented as dimensionless resistances in such a way that a designer can easily use them to predict the effect of constriction of flux lines on the overall resistance of the bodies.

scholarly journals Transient thermal boundary value problems in the half-space with mixed convective boundary conditions

2019 ◽  
Vol 114 (1) ◽  
pp. 141-158 ◽  
Author(s):  
Nikolai Gorbushin ◽  
Vu-Hieu Nguyen ◽  
William J. Parnell ◽  
Raphaël C. Assier ◽  
Salah Naili
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Half Space ◽  
Boundary Value ◽  
Convective Boundary Conditions ◽  
Convective Boundary ◽  
Transient Thermal

Peristaltic flow of a Jeffery fluid over a porous conduit in the presence of variable liquid properties and convective boundary conditions

2019 ◽  
Vol 6 (2) ◽  
Author(s):  
G. Manjunatha ◽  
C. Rajashekhar ◽  
K. V. Prasad ◽  
Hanumesh Vaidya ◽  
Saraswati
Keyword(s):  
Boundary Conditions ◽  
Frictional Force ◽  
Variable Viscosity ◽  
Pressure Rise ◽  
Velocity Slip ◽  
Peristaltic Flow ◽  
Physical Parameters ◽  
Convective Boundary Conditions ◽  
Convective Boundary ◽  
Closed Form Solutions

The present article addresses the peristaltic flow of a Jeffery fluid over an inclined axisymmetric porous tube with varying viscosity and thermal conductivity. Velocity slip and convective boundary conditions are considered. Resulting governing equations are solved using long wavelength and small Reynolds number approximations. The closed-form solutions are obtained for velocity, streamline, pressure gradient, temperature, pressure rise, and frictional force. The MATLAB numerical simulations are utilized to compute pressure rise and frictional force. The impacts of various physical parameters in the interims for time-averaged flow rate with pressure rise and is examined. The consequences of sinusoidal, multi-sinusoidal, triangular, trapezoidal, and square waveforms on physiological parameters are analyzed and discussed through graphs. The analysis reveals that the presence of variable viscosity helps in controlling the pumping performance of the fluid.

Unsteady and porous media flow of reactive non-Newtonian fluids subjected to buoyancy and suction/injection

2015 ◽  
Vol 25 (7) ◽  
pp. 1682-1704 ◽  
Author(s):  
Tirivanhu Chinyoka ◽  
Daniel Oluwole Makinde
Keyword(s):  
Heat Transfer ◽  
Porous Media ◽  
Boundary Conditions ◽  
Flow Velocity ◽  
Flow System ◽  
Finite Difference Methods ◽  
Porous Media Flow ◽  
Convective Boundary Conditions ◽  
Convective Boundary ◽  
Content Type

Purpose – The purpose of this paper is to examine the unsteady pressure-driven flow of a reactive third-grade non-Newtonian fluid in a channel filled with a porous medium. The flow is subjected to buoyancy, suction/injection asymmetrical and convective boundary conditions. Design/methodology/approach – The authors assume that exothermic chemical reactions take place within the flow system and that the asymmetric convective heat exchange with the ambient at the surfaces follow Newton’s law of cooling. The authors also assume unidirectional suction injection flow of uniform strength across the channel. The flow system is modeled via coupled non-linear partial differential equations derived from conservation laws of physics. The flow velocity and temperature are obtained by solving the governing equations numerically using semi-implicit finite difference methods. Findings – The authors present the results graphically and draw qualitative and quantitative observations and conclusions with respect to various parameters embedded in the problem. In particular the authors make observations regarding the effects of bouyancy, convective boundary conditions, suction/injection, non-Newtonian character and reaction strength on the flow velocity, temperature, wall shear stress and wall heat transfer. Originality/value – The combined fluid dynamical, porous media and heat transfer effects investigated in this paper have to the authors’ knowledge not been studied. Such fluid dynamical problems find important application in petroleum recovery.

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