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 Significance of Thermal Slip and Convective Boundary Conditions in Three Dimensional Rotating Darcy-Forchheimer Nanofluid Flow

Symmetry ◽  
2020 ◽  
Vol 12 (5) ◽  
pp. 741 ◽  
Author(s):  
Anum Shafiq ◽  
Ghulam Rasool ◽  
Chaudry Masood Khalique
Keyword(s):  
Activation Energy ◽  
Boundary Conditions ◽  
Skin Friction ◽  
Three Dimensional ◽  
Brownian Diffusion ◽  
Thermal Slip ◽  
Convective Boundary Conditions ◽  
Nanofluid Flow ◽  
Convective Boundary ◽  
Forchheimer Number

This article is concerned with the nanofluid flow in a rotating frame under the simultaneous effects of thermal slip and convective boundary conditions. Arrhenius activation energy is another important aspect of the present study. Flow phenomena solely rely on the Darcy–Forchheimer-type porous medium in three-dimensional space to tackle the symmetric behavior of viscous terms. The stretching sheet is assumed to drive the fluid. Buongiorno’s model is adopted to see the features of Brownian diffusion and thermophoresis on the basis of symmetry fundamentals. Governing equations are modeled and transformed into ordinary differential equations by suitable transformations. Solutions are obtained through the numerical RK45-scheme, reporting the important findings graphically. The outputs indicate that larger values of stretching reduce the fluid velocity. Both the axial and transverse velocity fields undergo much decline due to strong retardation produced by the Forchheimer number. The thermal radiation parameter greatly raises the thermal state of the field. The temperature field rises for a stronger reaction within the fluid flow, however reducing for an intensive quantity of activation energy. A declination in the concentration profile is noticed for stronger thermophoresis. The Forchheimer number and porosity factors result in the enhancement of the skin friction, while both slip parameters result in a decline of skin friction. The thermal slip factor results in decreasing both the heat and mass flux rates. The study is important in various industrial applications of nanofluids including the electro-chemical industry, the polymer industry, geophysical setups, geothermal setups, catalytic reactors, and many others.

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