The Effect of Strong Magnetic Field on Unsteady MHD Nanofluid Flow Through Convergent-Divergent Channel with Heat and Mass Transfer
Felicien Habiyaremye,
Mary Wainaina,
Mark Kimathi
Issue:
Volume 8, Issue 3, September 2022
Pages:
41-52
Received:
20 June 2022
Accepted:
6 July 2022
Published:
13 July 2022
DOI:
10.11648/j.ijfmts.20220803.11
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Abstract: Magnetohydrodynamic Nanofluid flow (Silver-water) through a converging-diverging channel under a strong magnetic field has been investigated. The induction equation is derived from electromagnetism. The non-linear partial differential equations are reduced to first-order non-linear ordinary differential equations using the similarity transformation and dimensionless numbers. The implicit Runge - Kutta fourth-order method via the bvp4c function in MATLAB has been used to generate the graphs of the fluid flow. It was observed that the high value of the Schmidt number leads to an increase in the velocity of the Nanofluid flow. The variation of the Schmidt number leads to a decrease in the temperature profile of the Nanofluid flow in the stretching channel and leads to an increase in the shrinking channel. The higher value of the Schmidt number leads to higher values in the concentration of the Nanofluid flow. Increasing the values of the Schmidt number leads to an augment in the magnetic induction of the Nanofluid flow for the divergent channel and a decrease is observed for a case of the convergent channel. Variation of the nanoparticle volume fraction increases the magnetic induction profiles of the Nanofluid flow for a stretching channel, and a decrease is observed for the case of the shrinking channel. The high value in Reynolds magnetic number leads to a high value in the velocity profile of Nanofluid flow. The change in Reynolds magnetic number leads to a high value in the temperature profiles of the Nanofluid flow for the case of a divergent channel and a decrease is observed for the case of a convergent channel. Varying the Reynolds magnetic number leads to a decrease in the magnetic induction profiles of the Nanofluid, this is due to the effectiveness of the relationship between the fluid flow and the magnetic field. Varying the Reynolds magnetic number leads to an augment in the induction profiles of the Nanofluid. This kind of study has a variety of applications such as geophysics, astrophysics, fire engineering, bio-medical, and blood flow through arteries and capillaries in the human body.
Abstract: Magnetohydrodynamic Nanofluid flow (Silver-water) through a converging-diverging channel under a strong magnetic field has been investigated. The induction equation is derived from electromagnetism. The non-linear partial differential equations are reduced to first-order non-linear ordinary differential equations using the similarity transformation...
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Study of Thermal Fields in a Semi - Ventilated Enclosure Heated by a Linear Heat Source
Koueni-Toko Christian Anicet
Issue:
Volume 8, Issue 3, September 2022
Pages:
53-63
Received:
19 July 2022
Accepted:
4 August 2022
Published:
10 August 2022
DOI:
10.11648/j.ijfmts.20220803.12
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Abstract: The objective of this work is to numerically study the temperature fields and to model the differential static pressure in a semi-ventilated enclosure heated by a linear heat source. The semi-ventilated enclosure has a height of 520 mm, a width of 210 mm and a length of 210 mm and has two openings located in the ceiling of the enclosure on the two side walls located at positions x + = - 0.5 and 0.5. The openings have a height of 34 mm and a length of 210 mm. The linear heat source has a diameter of 20 mm and a length of 200 mm and is placed in the position x + = 0 and 2 mm from the floor. Numerical calculations of thermal fields and differential static pressure were performed using the DNS method. The simulation technique is based on the finite volume method. The study was carried out in steady state. The discretization of the equations was carried out based on the QUICK scheme. This discretization gives a system of algebraic equations whose solution makes it possible to determine the fields of temperature and differential static pressure. The SIMPLE algorithm was used for pressure correction on a non-uniform mesh. The “Weighted Body Strength” scheme for pressure resolution. The results obtained show that the thermal plume slopes towards the right wall of the enclosure, reaches the ceiling where it is destroyed by shearing. Hot gases exit the enclosure at the top of the openings and cool air enters the enclosure from the bottom. The values of the differential static pressure at the openings are positive at the top where the hot gases exit and negative at the bottom where the fresh air enters the enclosure. Cool air descends to the bottom of the enclosure near the side walls and mixes with the warm air in the enclosure. The movements of air in the enclosure are governed by the thermal plume. The comparison of the differential static pressure obtained by numerical calculations with those of the experiments agrees.
Abstract: The objective of this work is to numerically study the temperature fields and to model the differential static pressure in a semi-ventilated enclosure heated by a linear heat source. The semi-ventilated enclosure has a height of 520 mm, a width of 210 mm and a length of 210 mm and has two openings located in the ceiling of the enclosure on the two ...
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