Free Fluid Convection in a Closed Contour in a Heat-Conducting Half-Space

2005 ◽  
Vol 40 (4) ◽  
pp. 613-622 ◽  
Author(s):  
M. M. Ramazanov
Keyword(s):  
Half Space ◽  
Free Fluid ◽  
Heat Conducting ◽  
Closed Contour ◽  
Fluid Convection

The determination of thermal stresses in dissimilar media

1981 ◽  
Vol 89 (3) ◽  
pp. 533-542 ◽  
Author(s):  
K. Aderogba
Keyword(s):  
Half Space ◽  
Thermal Stresses ◽  
Practical Importance ◽  
Invariant Form ◽  
Heat Conducting ◽  
Conducting Material ◽  
Image Position ◽  
Quantity Of Heat

AbstractIt is shown that if, in an infinite homogeneous unbounded elastic heat-conducting solid, we are given the thermal stresses which arise when any arbitrarily shaped subregion of the upper half-space z > 0 is emitting any quantity of heat into the surrounding, then on introducing a different heat-conducting material into the half-space z < 0, the new thermal stresses in z >0 and in z < 0 are explicitly expressible in an invariant form in terms of the known thermal stresses in the homogeneous infinite solid. Specialization of the derived dependence shows that the physically interesting interfacial discontinuities inherent in the problem admit the representationwhile the traction transmitted across the interface takes the formwhere αi and βi are constants. An application is then made to the case when the region emitting heat into the surrounding is ellipsoidal, since this is a fundamental shape of practical importance. Applications can however be made to any shape of the region emitting heat, provided that the corresponding harmonic and biharmonic potentials are available.The paper may be considered to have its origin in the half-space theorem of Lorentz in hydrodynamics.

On a technique for deriving explicit transfer matrices of orthotropic layers

2015 ◽  
Vol 37 (4) ◽  
pp. 303-315 ◽  
Author(s):  
Pham Chi Vinh ◽  
Nguyen Thi Khanh Linh ◽  
Vu Thi Ngoc Anh
Keyword(s):  
Wave Propagation ◽  
Explicit Form ◽  
Half Space ◽  
Transfer Matrix ◽  
Rayleigh Waves ◽  
Secular Equation ◽  
Transfer Matrices ◽  
Orthotropic Layer ◽  
Wave Propagation Problem ◽  
Arbitrary Thickness

This paper presents  a technique by which the transfer matrix in explicit form of an orthotropic layer can be easily obtained. This transfer matrix is applicable for both the wave propagation problem and the reflection/transmission problem. The obtained transfer matrix is then employed to derive the explicit secular equation of Rayleigh waves propagating in an orthotropic half-space coated by an orthotropic layer of arbitrary thickness.

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