حل بسته انتقال گرمای جابجایی اجباری سیال قانون توانی درون لوله‌های هم‌دما

[1]  Reiner M., Deformation and flow: HK Lewis & Company, 1949.

[2] Graetz V.L., Über die wärmeleitungsfähigkeit von flüssigkeiten, Annalen der Physik, Vol. 261, No. 7, pp. 337-357, 1885.

[3]  Nusselt W., The dependence of the heat-transfer coefficient on tube length, Zeit. VDI, Vol. 54, pp. 1154-1158, 1910.

[4]  Sellars J., Tribus M., and Klein J., Heat transfer to laminar 110W in a round tube or flat conduit-the Graetz problem extended, Transactions of the ASME, Vol. 78, pp. 4414148, 1956.

[5] Siegel R., Sparrow E., and Hallman. T., Steady laminar heat- transfer in a circular tube with prescribed wall heat flux, Applied Scientific Research, Section A, Vol. 7, No. 5, pp. 386-392, 1958.

[6] Lévêque A., Les Lois de la transmission de chaleur par convection, parAndré Lévêque: Dunod, 1928.

[7] Shih Y.P., and Tsou J.D., An International Journal of Research and DevelopmentExtended leveque solutions for heat

transfer to power law fluids in laminar flow in a pipe, The Chemical Engineering Journal, Vol. 15, No. 1, pp. 55-62, 1978. [8] Bird R.B., Viscous heat effects in extrusion of molten plastics, Soc. Plastics Eng. J, Vol.11, pp.35, 1955.

[9] Cotta R., Özi M., Laminar forced convection of power-law non-Newtonian fluids inside ducts, Wärme-und Stoffübertragung, Vol. 20, No. 3, pp. 211-218, 1986.

[10] Mikhailov M.D., Ozisik M.N., Unified analysis and solutions of heat and mass diffusion, 1984.

[11] Lian-Cun Z., Xin-Xin Z., Lian-Xi M., Fully developed convective heat transfer of power law fluids in a circular tube, Chinese Physics Letters, Vol. 25, No. 1, pp. 195, 2008.

[12] Foraboschi F.P., Federico I.Di., Heat transfer in laminar flow of non-Newtonian heat-generating fluids, International Journal of Heat and Mass Transfer, Vol.7, No.3, pp. 315IN1319-318IN2325, 1964.

[13] Richardson S.M., Extended leveque solutions for flows of power law fluids in pipes and channels, International Journal of Heat and Mass Transfer,Vol.22,No.10,pp.1417-1423, 1979/10/01, 1979.

[14] Raju K.K., Rathna S., Heat transfer for the flow of a power-law fluid in a curved pipe, Journal of the Indian Institute of Science, Vol.52, No.1, pp.34, 2013.

[15] Khan W.A., Culham J., Yovanovich M.M, Fluid flow and heat transfer in power-law fluids across circular cylinders: analytical study, Journal of heat transfer, Vol.128, No.9, pp. 870-878, 2006.

[16] Suckow W., Hrycak P., Griskey R., Heat transfer to polymer solutions and melts flowing between parallel plates, Polymer Engineering & Science, Vol. 11, No. 5, pp. 401-404, 1971.

[17] Gill W.N., Heat transfer in laminar power law flows with energy sources, AIChE Journal, Vol. 8, No. 1, pp. 137-138, 1962.

[18] Hsiao-Tsung L., Yen-Ping S., Unsteady thermal entrance heat transfer of power-law fluids in pipes and plate slits, International Journal of Heat and Mass Transfer, Vol. 24, No. 9, pp. 1531-1539, 1981.

[19] Gingrich W.K., Cho Y.I., Shyy W., Effects of shear thinning on laminar heat transfer behavior in a rectangular duct, International journal of heat and mass transfer, Vol. 35, No. 11, pp. 2823-2836, 1992.

[20] Chiba R., Izumi M., Sugano Y., An analytical solution to non-axisymmetric heat transfer with viscous dissipation for non-Newtonian fluids in laminar forced flow, Archive of Applied Mechanics, Vol. 78, No. 1, pp. 61-74, 2008.

[21] Ybarra R.M., Eckert R.E., Viscous heat generation in slit flow, AIChE Journal, Vol. 26, No. 5, pp. 751-762, 1980.

[22] Valko P.P., Solution of the Graetz–Brinkman problem with the Laplace transform Galerkin method, International Journal of Heat and Mass Transfer, Vol. 48, No. 9, pp. 1874-1882, 2005.

[23] Bassett C.E., Welty J.R., Non‐Newtonian heat transfer in the thermal entrance region of uniformly heated, horizontal pipes, Aiche Journal, Vol. 21, No. 4, pp.699-706, 1975 .

[24] Mahalingam R., Tilton L., Coulson J., Heat transfer in laminar flow of non-Newtonian fluids, Chemical Engineering Science, Vol. 30, No. 8, pp. 921-929, 1975.

[25] Vishal A., Slip law effects on heat transfer and entropy generation of pressure driven flow of a power law fluid in a microchannel under uniform heat flux boundary condition, Energy, Vol. 76, pp. 716-732, 2014.

[26] Baptista A., Alves M.A., and Coelho P.M., Heat transfer in fully developed laminar flow of power law fluids, Journal of Heat Transfer, Vol. 136, pp. 041702-041702-8, 2014.

[27] Mukherjee S., Gupta A.K., and Chhabra R.P., Laminar forced convection in power-law and Bingham plastic fluids in ducts of semi-circular and other cross-sections, International Journal of Heat and Mass Transfer, Vol. 104, pp. 112-141, 2017.

]28] Mukherjee S., Biswal P., Chakraborty S., DasGupta S., Effects of viscous dissipation during forced convection of power-law fluids in microchannels, International Communications in Heat and Mass Transfer, Vol. 89, pp. 83-90, 2017.

[29] Bejan A., Convection heat transfer: John Wiley & sons, 2013.

[30] Chhabra R.P., Richardson J.F., Non-Newtonian flow and        applied rheology: engineering applications: Butterworth-Heinemann, 2011.

[31] Kays W.M., and Crawford M.E., Convection Heat and Mass Transfer, McGraw–Hill, New York, 1980.

[32] Shah R., London A.L., Laminar flow forced convection in ducts, 1978.