Numerical modeling of heat and mass transfer during forced convection drying of rectangular moist objects

Kaya, Ahmet; Aydın, Orhan; Dinçer, İbrahim

doi:10.1016/j.ijheatmasstransfer.2006.01.043

Cited by 130 publications

(70 citation statements)

References 14 publications

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“…The numerical modeling of heat and mass transfer involved in the drying process without self-heating has motivated several studies using finite difference methods (Kaya et al, 2006;Kaya et al, 2008, Chandra & Talukdar, 2010Sheng et al, 2009). These studies have provided useful insight into the phenomenon, but the air flow regime in a typical drying bioreactor is nevertheless turbulent.…”

Section: Mixed Turbulent Convection and Diffusion In A Bioreactormentioning

confidence: 99%

On FVM Transport Phenomena Prediction in Porous Media with Chemical/Biological Reactions or Solid-Liquid Phase Change

Moraga¹,

Zambra²

2012

Finite Volume Method - Powerful Means of Engineering Design

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IntroductionThe aim of the chapter is to show the FVM capabilities in the accurate and efficient prediction of transport phenomena in porous media including either biological, chemical reactions or liquid-solid phase transformations. Four applied technological problems are solved with the FVM. Problem 1 is related to heat and mass diffusion in a saturated porous media where chemical and biological reactions occur. Such a situation can be found in compost piles resulting from contaminated water treatments. Field experimental data are used to assess the quality of FVM calculations for temperature and oxygen concentration distribution time variations along the prediction of thermal explosions (Moraga, 2009) and effect of the moisture in compost piles self-heating . Problem 2 deals with the improvement of thermal energy efficiency and pollution reduction in hydrocarbons combustion. Methane combustion with air in a cylindrical porous burner is investigated by solving 2D unsteady continuity, linear momentum, energy, and chemical species governing equations with the FVM. Sensibility studies performed via numerical tests allowed to obtain numerical results for unsteady velocity and temperature distributions, along to the displacement of the combustion zone. The effects of inlet reactants velocity (methane and air) in the range 0.3-0.6 m/s; excess air ratios between 3 and 6 and porosities of 0.3 up to 0.6 in the fluid dynamics, forced convection heat transfer and combustion process are described . Problem 3 is devoted to characterize 3D natural convection and heat conduction with solidification inside a cavity filled with a porous media, in which a Darcy-Brinkman-Forchheimer flow model is used. This infiltration technique can be applied to produce new materials with enhanced physical properties. A fixed grid method is used along the FVM to solve, with a temperature dependent liquid fraction, the moving boundary problem by using a power law model for binary non Newtonian alloys . Problem 4 describes 3D turbulent convective heat transfer in a bioreactor, including the self-heating of the porous material due to chemical and biological reactions. FVM simulation based on a coupled heat mass transfer external forced convection model is used to assess the effects of reactor geometry, self-heating parameters, air flow and temperature in the bioreactor performance. The mathematical model includes the convective turbulent flow of momentum, energy and oxygen concentration, with www.intechopen.com Finite Volume Method -Powerful Means of Engineering Design 258 the κ-ε turbulence model, and the diffusion of energy and oxygen concentration in the saturated porous medium. Numerical results for the dependent variables are successfully validated with experimental data. Issues such as the use of dynamic time steps, under-relation of dependent variables and local refined meshes are discussed in each one of the problems solved. The pressure-velocity-temperature-chemical species coupling is discussed and a novel PSIMPLER method for the FVM is...

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Section: Mixed Turbulent Convection and Diffusion In A Bioreactormentioning

confidence: 99%

On FVM Transport Phenomena Prediction in Porous Media with Chemical/Biological Reactions or Solid-Liquid Phase Change

Moraga¹,

Zambra²

2012

Finite Volume Method - Powerful Means of Engineering Design

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“…al. [1], Md Zaharul Karim and Hawlader [7][8] and Queiroz and Nebra [11] were solved their dehydration model using FDM.…”

Section: Mathematical Simulation Modelingmentioning

confidence: 99%

“…In order to simulate the mass and heat transfer numerically, the Crank-Nicolson FDM method was applied to discretise the equation (1) and (2). Wang and Brennan [13], Md Zaharul Karim and Hawlader [8], Ahmet Kaya et al [1] utilized implicit Crank-Nicolson scheme with the numerical procedure in their experiments. The drying material is considered as a thin slab of thickness, L(2b) at a uniform initial temperature, T 0 and moisture content, M 0 according to Md Zaharul Karim & Hawlader [8].…”

Section: Mathematical Simulation Modelingmentioning

confidence: 99%

Some Numerical Methods for Temperature and Mass Transfer Simulation on the Dehydration of Herbs

Islam¹,

Alias²

2010

IJCEE

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Abstract-Advances in herbs based products preservation and technologies are very significant in order to reduce post-harvest losses. The dynamic mathematical model of concurrent heat and moisture transfer are being established for the simulation of temperature and moisture distributions inside the herbs material during dehydration potential of herbs in a slab-shaped solid. Mathematical modeling presents the exchange of heat and mass transfer between material and drying air. Finite-difference method (FDM) based on Crank-Nicolson was used to discretise a parabolic type partial differential equations (PDE). The key purpose of this study is to illustrate the simulation of tropical herbs' dehydration through some numerical methods such as Jacobi, Gauss-Seidel and Red-Black Gauss-Seidel. This study focuses on the implementation of sequential algorithms on the simulation. 3D geometric visualization by COMSOL Multiphysics and graphical numerical results of FDM approximation in mass and heat transfer demonstrate the results of this study. The contribution of this study is a flourishing and modified mathematical simulation in representing the concrete process of dehydration in herbs product based industry. Most thermal and moisture models are empirical rather than theoretical. Therefore, the novelty of this paper is the best sources of thermal and moisture data for the commercial tropical herbs dehydration derived from the mathematical model in order to avoid high prototype costs and to improve inaccurate conditions and process parameters with the advancement of dryer technologies. The computational platform is based on Intel®Core™2Quad processors with MATLAB software. The performance analyses of Numerical methods are presented in terms of execution time, computational complexity, number of iterations, errors, accuracy, and convergence rate.

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“…This method has been used by [10][11][12]. The model simulations results, in terms of food temperature and moisture, were compared with experiment data.…”

Section: Introductionmentioning

confidence: 99%

Mathematical modelling of cucumber (cucumis sativus) drying

Shahari¹,

Hussein²,

Nursabrina³

et al. 2014

AIP Conference Proceedings

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Abstract. This paper investigates the applicability of using an experiment based mathematical model (empirical model) and a single phase mathematical model with shrinkage to describe the drying curve of cucumis sativus (cucumber). Drying experiments were conducted using conventional air drying and data obtained from these experiments were fitted to seven empirical models using non-linear least square regression based on the Levenberg Marquardt algorithm. The empirical models were compared according to their root mean square error (RMSE), sum of square error (SSE) and coefficient of determination (R 2 ). A logarithmic model was found to be the best empirical model to describe the drying curve of cucumber. The numerical result of a single phase mathematical model with shrinkage was also compared with experiment data for cucumber drying. A good agreement was obtained between the model predictions and the experimental data.

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Numerical modeling of heat and mass transfer during forced convection drying of rectangular moist objects

Cited by 130 publications

References 14 publications

On FVM Transport Phenomena Prediction in Porous Media with Chemical/Biological Reactions or Solid-Liquid Phase Change

On FVM Transport Phenomena Prediction in Porous Media with Chemical/Biological Reactions or Solid-Liquid Phase Change

Some Numerical Methods for Temperature and Mass Transfer Simulation on the Dehydration of Herbs

Mathematical modelling of cucumber (cucumis sativus) drying

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