Free convection in wavy porous enclosures with non-uniform temperature boundary conditions filled with a nanofluid: Buongiorno’s mathematical model

In the present work, the influence of the amplitude ratio, phase deviation, and undulation number on natural convection in a wavy-walled enclosures differentially heated and filled with a water based nanofluid is studied. The upper and bottom walls are wavy with several undulations. The sinusoidal distribution of temperature is imposed at the vertical walls. The flow, heat, and mass transfer are calculated by solving governing equations for embody the conservation of total mass, momentum, thermal energy, and nanoparticles, taking into account the Darcy-Boussinesq-Buongiorno approximation with second order finite difference method in ?stream function-temperature-concentration? formulation. Results are presented in the form of streamlines, isotherm, and isoconcentration contours, and distributions of the average Nusselt number for the different values of the amplitude ratio of the sinusoidal temperature on the right side wall to that on the left side wall (? = 0-1), phase deviation (? = 0-?), and undulation number (? = 1-4). It has been found that variations of the undulation number allow to control the heat and mass transfer rates. Moreover, an increase in the undulation number leads to an extension of the non-homogeneous zones.

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3D Thermosolutal Convection within Porous Media

Defect and Diffusion Forum ◽

10.4028/www.scientific.net/ddf.348.27 ◽

2014 ◽

Vol 348 ◽

pp. 27-39 ◽

Cited By ~ 2

Author(s):

Kacem Amel ◽

Oueslati Fakhreddine ◽

Rachid Bennacer ◽

Elcafsi Afif

Keyword(s):

Heat Transfer ◽

Mass Transfer ◽

Heat And Mass Transfer ◽

Thermosolutal Convection ◽

Control Parameters ◽

Characteristic Parameters ◽

Convection And Heat Transfer ◽

Flow Heat ◽

Vertical Walls ◽

Left And Right

The present work aims to study convection and heat transfer and mass in a porous cubic cavity. The configuration considered is a cavity cube with vertical walls left and right are subjected to temperatures required while others are impermeable and adiabatic. We realized that the results depend on several characteristic parameters, and general correlations are established for the calculation of heat and mass transfer, according to various studied parameters. The study focuses on the influence of the control parameters on the structure of the flow, heat and mass transfer.

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Analysis of unsteady magnetohydrodynamic radiative thin liquid film flow, heat and mass transfer over a stretching sheet with variable viscosity and thermal conductivity

International Journal for Computational Methods in Engineering Science and Mechanics ◽

10.1080/15502287.2021.1887406 ◽

2021 ◽

pp. 1-10

Author(s):

Dulal Pal ◽

Prasenjit Saha

Keyword(s):

Thermal Conductivity ◽

Mass Transfer ◽

Liquid Film ◽

Heat And Mass Transfer ◽

Stretching Sheet ◽

Film Flow ◽

Variable Viscosity ◽

Thin Liquid Film ◽

Liquid Film Flow ◽

Flow Heat

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Effects of Variable Transport Properties on Heat and Mass Transfer in MHD Bioconvective Nanofluid Rheology with Gyrotactic Microorganisms: Numerical Approach

Coatings ◽

10.3390/coatings11020231 ◽

2021 ◽

Vol 11 (2) ◽

pp. 231

Author(s):

Muhammad Awais ◽

Saeed Ehsan Awan ◽

Muhammad Asif Zahoor Raja ◽

Nabeela Parveen ◽

Wasim Ullah Khan ◽

...

Keyword(s):

Mass Transfer ◽

Transport Properties ◽

Heat And Mass Transfer ◽

Group Analysis ◽

Numerical Approach ◽

Validity Of Results ◽

Gyrotactic Microorganisms ◽

Transfer Rates ◽

Buongiorno’S Model ◽

Density Distributions

Rheology of MHD bioconvective nanofluid containing motile microorganisms is inspected numerically in order to analyze heat and mass transfer characteristics. Bioconvection is implemented by combined effects of magnetic field and buoyancy force. Gyrotactic microorganisms enhance the heat and transfer as well as perk up the nanomaterials’ stability. Variable transport properties along with assisting and opposing flow situations are taken into account. The significant influences of thermophoresis and Brownian motion have also been taken by employing Buongiorno’s model of nanofluid. Lie group analysis approach is utilized in order to compute the absolute invariants for the system of differential equations, which are solved numerically using Adams-Bashforth technique. Validity of results is confirmed by performing error analysis. Graphical and numerical illustrations are prepared in order to get the physical insight of the considered analysis. It is observed that for controlling parameters corresponding to variable transport properties c2, c4, c6, and c8, the velocity, temperature, concentration, and bioconvection density distributions accelerates, respectively. While heat and mass transfer rates increases for convection parameter and bioconvection Rayleigh number, respectively.

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