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Simultaneous Heat and Mass Transfer Model for Convective Drying of Building Material

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Abstract

A mathematical model of simultaneous heat and moisture transfer is developed for convective drying of building material. A rectangular brick is considered for sample object. Finite-difference method with semi-implicit scheme is used for solving the transient governing heat and mass transfer equation. Convective boundary condition is used, as the product is exposed in hot air. The heat and mass transfer equations are coupled through diffusion coefficient which is assumed as the function of temperature of the product. Set of algebraic equations are generated through space and time discretization. The discretized algebraic equations are solved by Gauss–Siedel method via iteration. Grid and time independent studies are performed for finding the optimum number of nodal points and time steps respectively. A MATLAB computer code is developed to solve the heat and mass transfer equations simultaneously. Transient heat and mass transfer simulations are performed to find the temperature and moisture distribution inside the brick.

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Abbreviations

α:

Thermal diffusivity (m2/s)

Cp :

Specific heat capacity at constant pressure (J/kg K)

D:

Moisture diffusivity (m2/s)

D0 :

Pre-exponential factor (m2/s)

h:

Heat transfer coefficient (W/m2 K)

hm :

Moisture transfer coefficient (m/s)

H:

Height of the rectangular object (m)

k:

Thermal conductivity (W/m2 K)

L:

Length of the rectangular object (m)

m:

Number of mesh points in x direction

M:

Moisture content of the object (kg/kg of db)

Md :

Moisture content of the drying air (kg/kg of db)

n:

Number of mesh points in y direction

t:

Time (s)

T:

Temperature (K)

Td :

Temperature of the drying air (K)

x, y:

Coordinates

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Authors and Affiliations

  1. NIT Warangal, Warangal, Telangana, 506 004, India

    Ashwani Upadhyay & V. P. Chandramohan

Authors
  1. Ashwani Upadhyay
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  2. V. P. Chandramohan
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Correspondence to V. P. Chandramohan.

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Upadhyay, A., Chandramohan, V.P. Simultaneous Heat and Mass Transfer Model for Convective Drying of Building Material. J. Inst. Eng. India Ser. C 99, 239–245 (2018). https://doi.org/10.1007/s40032-016-0260-y

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  • DOI: https://doi.org/10.1007/s40032-016-0260-y

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