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Fig. 3. Comparison of isotherms with those of (Bakar et al 2019) and present result while Ri = 0.1, Re = 100, Gr =103, y = 90° and different Hartmann number.

Figure 3 Comparison of isotherms with those of (Bakar et al 2019) and present result while Ri = 0.1, Re = 100, Gr =103, y = 90° and different Hartmann number.

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Fig. 1. Physical configuration of the cavities. magnetic fields. oure fluid, and the system is affected by the imposed and mixed convection. The cavities are containing only
Fig. 1. Physical configuration of the cavities. magnetic fields. oure fluid, and the system is affected by the imposed and mixed convection. The cavities are containing only
The upper walls are shifting in the x-direction, and all of rest of the walls are kept at an adiabatic temperature.
The upper walls are shifting in the x-direction, and all of rest of the walls are kept at an adiabatic temperature.
The dimensionless governing equation can be written as,
The dimensionless governing equation can be written as,
The governing equations with described boundary conditions were solved using the finite element method. The isothermal contours and Nusselt number inside the cavities are shown using COMSOL Multiphysics 5.5 finite element solver. The simulations are done using triangular meshing as shown in Figure 2(a). As seen from figure 2(b), the variation of the nusselt number is very negligible for altering the number of elements 98714 from 23354. However, the present study considers the higher number of elements to get a better visualization of the reported results. of elements to get a better visualization of the reported
The governing equations with described boundary conditions were solved using the finite element method. The isothermal contours and Nusselt number inside the cavities are shown using COMSOL Multiphysics 5.5 finite element solver. The simulations are done using triangular meshing as shown in Figure 2(a). As seen from figure 2(b), the variation of the nusselt number is very negligible for altering the number of elements 98714 from 23354. However, the present study considers the higher number of elements to get a better visualization of the reported results. of elements to get a better visualization of the reported
Fig. 4. Nusselt number along the top wall (hot wall) for
Fig. 4. Nusselt number along the top wall (hot wall) for
Fig. 5. Isothermal contour for Ri = 1 with Re = 100, Pr =7,
Fig. 5. Isothermal contour for Ri = 1 with Re = 100, Pr =7,
Fig. 7. Nusselt number along the top wall (hot wall) for different values of Prandtl Number at Ri = 0.1, Re = 100, Ha Fig. 6. Nusselt number along the top wall (hot wall) for
Fig. 7. Nusselt number along the top wall (hot wall) for different values of Prandtl Number at Ri = 0.1, Re = 100, Ha Fig. 6. Nusselt number along the top wall (hot wall) for
ig. 10. Isothermal contour for Ri = 0.1,1,10 with Re = 100, Pr = 7, Ha = 30, and magnetic inclination angle y = 60° transfer is reduced. Recirculating vortices are observed in the center of the enclosure because the top wall is moving towards the x- direction (as shown in Figure 11). The strength of core vortexes decreases and shifts to some weak vortices at the two extreme corners of the cavity when the Richardson number is increased to 10. Hence, free convection is dominant for the higher value of Ri, as a result, heat transfer is reduced. Pr = 7, Ha = 30, and magnetic inclination angle y = 60°
ig. 10. Isothermal contour for Ri = 0.1,1,10 with Re = 100, Pr = 7, Ha = 30, and magnetic inclination angle y = 60° transfer is reduced. Recirculating vortices are observed in the center of the enclosure because the top wall is moving towards the x- direction (as shown in Figure 11). The strength of core vortexes decreases and shifts to some weak vortices at the two extreme corners of the cavity when the Richardson number is increased to 10. Hence, free convection is dominant for the higher value of Ri, as a result, heat transfer is reduced. Pr = 7, Ha = 30, and magnetic inclination angle y = 60°
Fig. 11.Streamlines for Ri = 0.1, 1, 10 with Re = 100, Pr =7,
Fig. 11.Streamlines for Ri = 0.1, 1, 10 with Re = 100, Pr =7,
Fig. 12. Nusselt Number along the top wall for Ri = 0.1, 1,
Fig. 12. Nusselt Number along the top wall for Ri = 0.1, 1,
Fig. 13. Isothermal Contour for Ha= 0, 10, 30, 50, at Re = 100, Ri = 0.1, Pr = 7 and magnetic inclination angle y = 60°. Fig. 13. Isothermal Contour for Ha= 0, 10, 30, 50, at Re = 100, Ri = 0.1, Pr = 7 and magnetic inclination angle y = 60°.
Fig. 13. Isothermal Contour for Ha= 0, 10, 30, 50, at Re = 100, Ri = 0.1, Pr = 7 and magnetic inclination angle y = 60°. Fig. 13. Isothermal Contour for Ha= 0, 10, 30, 50, at Re = 100, Ri = 0.1, Pr = 7 and magnetic inclination angle y = 60°.
Fig. 14. Streamlines for Ha = 0, 10, 30, 50 at Re = 100, Ri=
Fig. 14. Streamlines for Ha = 0, 10, 30, 50 at Re = 100, Ri=
Fig. 15. Nusselt number along the top wall for different
Fig. 15. Nusselt number along the top wall for different
Fig. 16. Isothermal Contour for different value of magnetic inclination angle, y with Ri = 0.1, Ha = 30, Pr = 7, Re = 100.
Fig. 16. Isothermal Contour for different value of magnetic inclination angle, y with Ri = 0.1, Ha = 30, Pr = 7, Re = 100.
Fig. 17. Nusselt number along the top wall for different ingle rises. As Ri = 10 indicates strong free convection, over conduction. As a result, when Ri = 0.1 and 1 and the
Fig. 17. Nusselt number along the top wall for different ingle rises. As Ri = 10 indicates strong free convection, over conduction. As a result, when Ri = 0.1 and 1 and the
Fig. 18. Nusselt number along the top wall for different
Fig. 18. Nusselt number along the top wall for different
Fig. 19. Isothermal Contour for different values of Reynolds the Ri number, the higher would be the heat transfer.
Fig. 19. Isothermal Contour for different values of Reynolds the Ri number, the higher would be the heat transfer.
Fig. 21. Nusselt number along the top wall for different value of with Ri = 0.1,1,10, Ha = 30, Pr = 7, magnetic Fig. 20. Streamlines for different values of Reynolds
Fig. 21. Nusselt number along the top wall for different value of with Ri = 0.1,1,10, Ha = 30, Pr = 7, magnetic Fig. 20. Streamlines for different values of Reynolds
Related topics:
MechanicsNusselt NumberHartmann numberRichardson number
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