Index Catalog // ScholarsArchive@OSU

Creator:: Ghandour, Nabil Nassib
Abstract:: The stability of fluids in porous media subject to various physical and geometrical conditions is studied here. Criteria for the onset of convective motions are given in terms of critical temperature gradients or heat sources. The general method used involves the linearization of the field equations about the hydrostatic solutions...
Resource Type:: Dissertation
Full Text:: Exact Solution for the Layer Heated from Below 18 RESULTS FOR OTHER SLAB-TYPE PROBLEMS 21 4.1

Creator:: Adotevi-Akue, George Modesto
Abstract:: This thesis involves the interpretation of gravity and other potential field anomalies caused by layers of varying thickness. The partial differential equations of potential field theory are reviewed for gravitational and magnetic force fields. A similar review is carried out for steady-state heat transport and diffusion processes. For the gravitational...
Resource Type:: Dissertation
Full Text:: Fields 19 Basic Theory 19 Single Body With Given Constant Density 21 Infinitely Thin Sheet With Variable

Creator:: Wong, James Teng
Abstract:: The paper concerns itself with the problem of heat transport in a homogeneous, incompressible, isotropic, semi-infinite solid whose boundary is nonstationary. The methods of solution in the one dimensional case are discussed. Numerical examples and a method for arriving at the solutions published by Bailey and Lakin in their paper...
Resource Type:: Masters Thesis
Full Text:: (-) + , f i -Î s p - - where 2 K --( ß + - vf f 21 By Theorem 1 and the Inverse Laplace

Creator:: Eggers, Dwight Edward
Abstract:: The problem of downward continuation of potential fields is being considered. The basic approach involves computation in real space using a power series expansion. The computation of the derivatives required for evaluating the series is carried out on the basis of two approximation methods, viz. (1) polynomial method, and (2)...
Resource Type:: Masters Thesis
Full Text:: CONTINUATION IN REAL SPACE 20 Derivatives by the Band-Limited Approximation 21 Derivatives by the Polynomial

Creator:: Shyu, Chuen Tien
Abstract:: The numerical analysis of thermal convection in porous media, heated from below, and assuming Darcy flow conditions, involves the solving of a set of non-linear equations for the temperature and flow fields. The condition of criticality determining the onset of convection is obtained by linearization and the solving of an...
Resource Type:: Dissertation
Full Text:: HORIZONTAL PLANES 21 Formulation 25 An Example of Comparison with Existing Analytic Solutions 30 Infinite

Creator:: Kiser, Terry
Abstract:: See pdf
Resource Type:: Dissertation
Full Text:: i2kirx n u(x) = .(21(7) irk e k= with domain consisting of all L2(0,1) functions, u(x), such that k

Creator:: Eggers, Dwight Edward
Abstract:: The continuation of conductive temperature fields is being considered. The continuation of a field involves the extrapolation of a field known over a limited domain to an adjacent domain in such a way that it satisfies the heat conduction differential equation and other imposed constraints. Continuations forward in time and...
Resource Type:: Dissertation
Full Text:: temperature and heat flow in soil. 139 20. Shallow borehole temperature observations. 143 21. Repeated

ScholarsArchive@OSU