**December 20, 2022**. Read More

10.5120/ijca2020920803 |

Abdullah A Kendoush, Yasin K Salman and Farquid Mohammed Al-Janabi. Convective Heat and Mass Transfer to Fluids from a Rotating Sphere. *International Journal of Computer Applications* 175(25):46-55, October 2020. BibTeX

@article{10.5120/ijca2020920803, author = {Abdullah A. Kendoush and Yasin K. Salman and Farquid Mohammed Al-Janabi}, title = {Convective Heat and Mass Transfer to Fluids from a Rotating Sphere}, journal = {International Journal of Computer Applications}, issue_date = {October 2020}, volume = {175}, number = {25}, month = {Oct}, year = {2020}, issn = {0975-8887}, pages = {46-55}, numpages = {10}, url = {http://www.ijcaonline.org/archives/volume175/number25/31611-2020920803}, doi = {10.5120/ijca2020920803}, publisher = {Foundation of Computer Science (FCS), NY, USA}, address = {New York, USA} }

### Abstract

Convective heat and mass transfer from a rotating sphere have been study here. The study cases were divided into the rotating sphere in an axial flow and in still fluid. The heat transfer is a major part in this study because the mass transfer that we got was from analogy. The heat transfer from rotating sphere in an axial flow was solved by taking the advantage of Merk’s method, with uniform wall temperature (UWT) and uniform heat flux (UHF) heating conditions, while in still fluid we obtained a new equation for heat transfer for constant wall temperature heating condition. The result was that the heat transfer from the (UHF) case is greater than (UWT) case, while booth cases are increased with the rotation parameter (B) and Prandtl number. Now, for the still fluid case, the heat transfer increases with rotational Reynolds number and with Prandtl number. The mass transfer case had been obtained by the analogy, and because of that we got almost the same equations but with different coefficients and with the same cases that we dealt with heat transfer. A central finite deference method was used to solve fi, gi and θi's parameters for the case of heat and mass transfer from a rotating sphere.

### References

- Siekmann, J., “The calculation of the thermal boundary layer on rotating sphere,” Z. Angew. Math phys., Vol. 16, 1957, pp. 468 – 482.
- Hoskin, N. E., “The laminar boundary layer on a rotating sphere,” in: H. Gortter and W. Tollemien, 50 Jahre Grenzschichtforchung (Friedr Vieweg U. Sohn, Brunswig), 1955, pp. 127 – 131.
- Chao, B. T., and Greif, R., “Laminar forced convection over rotating bodies,” ASME J. of Heat Transfer, Vol. 96, 1974, pp. 463 – 466.
- Lee, M. H., Jeng D. R., and Witt, K. J., “Laminar boundary layer transfer over rotating bodies in forced flow,” ASME J. Heat Transfer, Vol. 100, 1978, pp. 496 – 502.
- Merk, H. J., “Rapid calculations for boundary layer transfer using wedge solutions and asymptotic expansions,” J. of Fluid Mechanics, Vol. 5, 1959, pp. 460 – 480.
- Konno, H., Asano, M., Kuriyama, M., and Harada, E., “Heat transfer from rotating sphere,” Kagaku Kogaku Ronbunshu, Vol. 4, 1978, pp. 221 – 230.
- Le Palec, G., and Daguenet, M., “Analysis of free convective effect about a rotating sphere in forced flow,” Int. Communication Heat Mass Transfer, Vol. 17, 1984, pp. 409 – 416.
- Palekar, M. G., and Rajasekaran, R., “Mixed convection about a rotating sphere,” Int. J. Heat Mass Transfer, Vol. 28, 1985, pp. 959 – 968.
- Le Palec, G., and Daguenet, M., “Laminar three-dimensional mixed convection about a rotating sphere in a stream” Int. J. Heat Mass Transfer, Volume 30, Issue 7, July 1987, Pages 1511-1523.
- Georges Le Palec, “A new correlation for laminar mixed convection over a rotating sphere.” Int. J. Heat Mass Transfer, Vol. 31, issue 11, 1988, pp. 2347 – 2355
- Al- Jamal, K., El – Shaarawi, M. A. I., and Kodah, Z., “Laminar forced convection about rotating bodies at low Pr – number,” Heat and Mass Transfer, vol. 33, No. 1 – 2, 1997, pp. 81 – 84. (Internet searching).
- Hossain, M. A. and Takhar, H. S., “Radiation – conduction interaction in mixed convection a long rotating bodies,” Heat and Mass Transfer, vol. 33, No. 3, 1997, pp. 201 – 208. (Internet research).
- Stokes, S. G. G., “On the theories of the inertia friction of fluid in motion,” Camb. Trans., Vol. 8, 1845, pp. 287 – 293.
- Howarth, L., “Note on the boundary layer on a rotating sphere,” Phil. May., Vol. 42, 1951, pp. 1308 – 1315.
- Nigam, S. D., “Note on the boundary layer on a rotating sphere.” Appl. Sci. Res., Vol. Ag. 1960, pp. 197 – 205.
- Kreith, F., Roberts, L. G., Sullivan, J. A., and Siha, S. N., “Convection heat transfers and flow phenomena of rotating spheres,” Int. J. Heat Mass Transfer, Vol. 6, 1963, pp. 881 – 895.
- Banks, W. H., “The boundary layer on a rotating sphere,” Quarterly J. of Mechanics and Applied Mathematics, Vol. 18, 1965, pp. 443 – 454.
- Dorfman, L. A., and Mironova, V. A.,”Solutions of equations for the thermal boundary layer at rotating axisymmetric surface,” Int. J. Heat Mass Transfer, Vol. B, 1970, pp. 81 – 92.
- Acrivos, A. , “Heat transfer at high Peclet number from a small sphere freely rotating in a simple shear field,” J. Fluid Mechanics, Vol. 46, part 2, 1971, pp. 233 – 240.
- Frankel, N. A., and Acrivos, A., “Heat and mass transfer from small spheres and cylinders suspended in shear flow,” phys. Fluids, Vol. 11, 1968, pp. 1913 – 1918.
- Eastop, T. D., “The influence of rotating on the heat transfer from a sphere to an air stream,” Int. J. Heat Mass Transfer, Vol. 16, 1973, pp. 1954 – 1957
- Poe, G. G., and Acrivos, A. ,”Closed streamline flows past small rotating particles, heat transfer at high Peclet numbers,” Int. J. Multiphase Flow, Vol. 2, 1976, pp. 365 – 377.
- Furuta, T., Jimbo, T., Okazaki, H., and Toei, R., “Mass transfer to a rotating sphere in an axial stream,” J. Chemical Engineering. Japan, Vol. 8, 1975, pp. 456 – 462.
- Furuta, T., Okazaki, M., and Toei, R., “Mass transfer to a rotating sphere in a stream,” J. Chem. Engg Japan, Vol. 10, 1977, pp. 288 – 292.
- Chao, B. T., and Fagbenle, R. O., “On Merk’s method of calculating boundary layer transfer,” Int. J. of Heat Mass Transfer, Vol. 17, 1974, pp. 223 – 240.
- Zaturska, M. B., and Banks, W. H. H., “On family of Stockes flow,” Int. J. for Numerical Methods in Fluids, Vol. 4, 1984, pp. 685 – 699.
- Carslaw, H.S., and Jeager, J.C. “Conduction of Heat in Solids” 2nd Ed. Oxford University Press, London and Newyork, 1959
- Meyers, G. E., “Analytical method in conduction heat transfer,” MC-Graw Hill, Inc., 1971.

### Keywords

Heat Transfer, Mass Transfer, Rotating Sphere in an Axial Flow, Rotating sphere in still Flow.