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The transient heat conduction equation is solved for inhomogeneous media using the Explicit, Pure-Implicit, Crank-Nicolson and Douglas finite-difference methods, and the numerical solutions are investigated with respect to accuracy and stability. The inherent discontinuity between the initial and boundary conditions is accounted for by mesh refinement. For the two versions of the problem for ...

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Two-Dimensional, Transient Heat-Conduction Problems B.G. THOMAS, I.V. SAMARASEKERA, and J. K. BRIMACOMBE The accuracy, stability, and cost of the standard finite-element method, (Standard), Matrix method method of Ohnaka, and alternating-direction, implicit finite-difference method (ADI) have been

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May 11, 2010 · Transient Heat Flow - I. 2-D transient diffusion with implicit time stepping. fvm_soln_transient_bdry_nodes.m sets up parameters a_P etc and includes time-stepping loop. includes a (kludged) variable mixing factor "0<=theta<=1" to allow exploration of implicit, Crank-Nicolson, and explicit schemes. Heat Transfer Equipment: Sales, Service & Support Sales & Service: Heat Exchanger products and systems including shell & tube, air cooled oil cooolers, plate and frame / gasketed plate and frame, embossed plate, brazed plate, refrigeration chillers and condensers, ndustrial silencers, moisture separators and cooling towers.

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turbulence, impinging jets may achieve desired heat transfer rates with a " ow an order of magnitude lower than conventional parallel-" ow heat transfer designs. The physics and applications of these devices are detailed in many papers and a number of reviews [1Ð4]. The use of an array of narrow slot jets aligned with the axis of the

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Equation General. The following convection diffusion equation is considered here [∂ (,) ∂ + ∂ (,) ∂] = ∂ (,) ∂ + (,)In the above equation, four terms represents transience, convection, diffusion and a source term respectively, where . T is the temperature in particular case of heat transfer otherwise it is the variable of interest; t is time; c is the specific heatComputational Methods for Heat and Mass Transfer Table of Contents Preface Nomenclature Part I: Basic Equations and Numerical Analysis 1. Review of Basic Laws and Equations 1.1 Basic equations 1.2 Fluid Flows 1.2.1 Fluid Properties 1.2.2 Basic Equations in Integral Forms 1.2.3 Differential Analysis of Fluid Motion 1.2.4 Boundary Conditions for Flow Field 1.3 Heat Transfer 1.3.1 Basic Modes and ...