AN EFFICIENT SOLUTION OF HEAT AND MASS TRANSFER EQUATIONS WITH BOUNDARY CONDITIONS OF THIRD KIND IN CAPILLARY POROUS AXIALLY COMPOSITE CYLINDER USING PROGRAMMABLE GRAPHICS HARDWARE

2020 ◽  
Vol 21 (2) ◽  
pp. 217-236
Author(s):  
Hira Narang ◽  
Fan Wu ◽  
Abdul Rafae Mohammed
Keyword(s):  
Mass Transfer ◽  
Boundary Conditions ◽  
Heat And Mass Transfer ◽  
Efficient Solution ◽  
Graphics Hardware ◽  
Composite Cylinder ◽  
Transfer Equations

scholarly journals An Efficient Acceleration of Solving Heat and Mass Transfer Equations with the Second Kind Boundary Conditions in Capillary Porous Radially Composite Cylinder Using Programmable Graphics Hardware

2020 ◽  
Vol 13 (2) ◽  
pp. 75
Author(s):  
Hira Narang ◽  
Fan Wu ◽  
Abdul Rafae Mohammed
Keyword(s):  
Mass Transfer ◽  
Boundary Conditions ◽  
Heat And Mass Transfer ◽  
Numerical Solutions ◽  
Programming Model ◽  
Graphics Hardware ◽  
Processing Unit ◽  
Composite Cylinder ◽  
Acceleration Techniques ◽  
Transfer Equations

With the recent developments in computing technology, increased efforts have gone into the simulation of various scientific methods and phenomenon in engineering fields. One such case is the simulation of heat and mass transfer equations which is becoming more and more important in analyzing various scenarios in engineering applications. Analysing the heat and mass transfer phenomenon under various environmental conditions require us to simulate it. However, this process of numerical solution of heat and mass transfer equations is very time consuming. Therefore, this paper aims at utilizing one of the acceleration techniques developed in the graphics community that exploits a graphics processing unit (GPU) which is applied to the numerical solutions of heat and mass transfer equations. The nVidia Compute Unified Device Architecture (CUDA) programming model can be a good method of applying parallel computing to program the graphical processing unit. This paper shows a good improvement in the performance, while solving the heat and mass transfer equations for a capillary porous radially composite cylinder with the second kind of boundary conditions, numerically running on GPU. This heat and mass transfer simulation is implemented using CUDA platform on nVidia Quadro FX 4800 graphics card. Our experimental results depict the drastic performance improvement when GPU is used to perform heat and mass transfer simulation. GPU can significantly accelerate the performance with a maximum observed speedup of more than 8 fold times. Therefore, the GPU is a good approach to accelerate the heat and mass transfer simulation.

Drying of Porous Materials in a Medium With Variable Potentials

1991 ◽  
Vol 113 (3) ◽  
pp. 757-762 ◽  
Author(s):  
Jen Y. Liu
Keyword(s):  
Mass Transfer ◽  
Porous Material ◽  
Boundary Conditions ◽  
Porous Materials ◽  
Heat And Mass Transfer ◽  
Thermophysical Properties ◽  
External Medium ◽  
Dimensionless Form ◽  
Transfer Equations ◽  
Method Of Solution

This paper presents an application of the Luikov system of heat and mass transfer equations in dimensionless form to predict the temperature and moisture distributions in a slab of capillary-porous material during drying. The heat and mass potentials of the external medium in the boundary conditions are assumed to vary linearly with time. The method of solution is illustrated by considering the drying of a slab of lumber. Numerical results based on the estimated thermophysical properties of spruce are presented.

Physical statement of the problem for a numerical model of soil freezing and heaving taking into account heat and mass transfer

2021 ◽  
pp. 244-256
Author(s):  
Виктор Григорьевич Чеверев ◽  
Евгений Викторович Сафронов ◽  
Алексей Александрович Коротков ◽  
Александр Сергеевич Чернятин
Keyword(s):  
Finite Element Method ◽  
Mass Transfer ◽  
Finite Element ◽  
Numerical Model ◽  
Boundary Conditions ◽  
Heat And Mass Transfer ◽  
Soil Freezing ◽  
The Finite Element Method ◽  
Freezing Front ◽  
Element Method

Существуют два основных подхода решения задачи тепломассопереноса при численном моделировании промерзания грунтов: 1) решение методом конечных разностей с учетом граничных условий (границей, например, является фронт промерзания); 2) решение методом конечных элементов без учета границ модели. Оба подхода имеют существенные недостатки, что оставляет проблему решения задачи для численной модели промерзания грунтов острой и актуальной. В данной работе представлена физическая постановка промерзания, которая позволяет создать численную модель, базирующуюся на решении методом конечных элементов, но при этом отражающую ход фронта промерзания - то есть модель, в которой объединены оба подхода к решению задачи промерзания грунтов. Для подтверждения корректности модели был проделан ряд экспериментов по физическому моделированию промерзания модельного грунта и выполнен сравнительный анализ полученных экспериментальных данных и результатов расчетов на базе представленной численной модели с такими же граничными условиями, как в экспериментах. There are two basic approaches to solving the problem of heat and mass transfer in the numerical modeling of soil freezing: 1) using the finite difference method taking into account boundary conditions (the boundary, for example, is the freezing front); 2) using the finite element method without consideration of model boundaries. Both approaches have significant drawbacks, which leaves the issue of solving the problem for the numerical model of soil freezing acute and up-to-date. This article provides the physical setting of freezing that allows us to create a numerical model based on the solution by the finite element method, but at the same time reflecting the route of the freezing front, i.e. the model that combines both approaches to solving the problem of soil freezing. In order to confirm the correctness of the model, a number of experiments on physical modeling of model soil freezing have been performed, and a comparative analysis of the experimental data obtained and the calculation results based on the provided numerical model with the same boundary conditions as in the experiments was performed.

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