Convection and Conduction Heat Transfer Part 6

Tham khảo tài liệu 'convection and conduction heat transfer part 6', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 140 Convection and Conduction Heat Transfer a b c d e Fig. 3. Isotherm and streamline contours for Gr 106 and Ha 50 a Y n 6 b Y n 4 c Y n 3 d Y 5n 12 and e Y n 2 radians Hydromagnetic Flow with Thermal Radiation 141 Isotherm and streamline plots will be reported for different values of controlling parameters. The contour lines of isotherm plots correspond to equally-spaced values of the dimensionless temperature T . AT in the range between and . On the other hand the dimensionless stream function is obtained from the velocity field solution by integrating the integral T J u dy along constant x lines setting T 0 at x y 0. The contour lines of the streamline plots are correspondent to equally-spaced values of the dimensionless stream function unless otherwise specified. Influence of the tilting of an enclosure without radiation A numerical investigation is presented for natural convection of an electrically conducting fluid in a tilted square cavity in the presence of a vertical magnetic field aligned to the gravity . X - Y. In the present study the Grashof number is fixed as Gr 106. Computations are carried out for tilted angles ranging from 0 to n 2 radians and the thermal radiation is neglected. Figure 2 shows the isotherm and streamline contours for natural convection in inclined cavities in the absence of a magnetic field. The multi-cellular inner core consists of a central roll designated by in the figures sandwiched between two rolls. As the tilting angle decreases the fluid motion becomes progressively intensive. The temperature is stratified at the core region in case of Y n 2 rad. When the tilting angle decreases this trend is maintained until Y n 4 rad. The stratification of the temperature field in the interior begins to diminish as the inclination angle reaches n 6 rad due to the increasing buoyant action. The results depicted in Fig. 3 demonstrate the influence of the magnetic field on the fluid flow and the temperature .

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