Nandakumar, K., Masliyah, J. H., and Law, H. S., 1985, “Bifurcation in Steady Laminar Mixed Convection Flow in Horizontal Ducts,” J. Fluid Mech.

[CrossRef], 152 , pp. 145–161.

Law, H. S., Masliyah, J. H., and Nandakumar, K., 1987, “Effect of Nonuniform Heating on Laminar Mixed Convection in Ducts,” ASME J. Heat Transfer, 109 , pp. 131–137.

Lei, Q. M., and Trupp, A. C., 1990, “Predictions of Laminar Mixed Convection in Horizontal Semicircular Duct,” "*Proceedings of the 6th International Symposium on Heat and Mass Transfer*", Miami, FL, pp. 10–12.

Chinproncharoenpong, C., Trupp, A. C., and Soliman, H. M., 1993, “Effect of Gravitational Force Orientation on Laminar Mixed Convection for a Horizontal Semicircular Duct,” "*Proceedings of the 3rd World Conference on Experimental Heat Transfer, Fluid Mechanics and Thermodynamics*", Vol. 109 , Elsevier, New York, pp. 131–137.

Busedra, A. A., and Soliman, H. M., 1999, “Analysis of Laminar Mixed Convection in Inclined Semicircular Ducts Under Buoyancy-Assisted and –Opposed Conditions,” Numer. Heat Transfer, Part A, 36 , pp. 527–544.

Cheng, C. H., Lin, C. H., and Aung, W., 2000, “Predictions of Developing Flow With Buoyancy-Assisted Flow Separation in Vertical Rectangular Duct: Parabolic Model Versus Elliptic Model,” Numer. Heat Transfer, Part A, 37 , pp. 567–586.

Cheng, C. H., Anug, W., and Weng, C. J., 2000, “Buoyancy-Assisted Flow Reversal and Convective Heat Transfer in Entrance Region of a Vertical Rectangular Duct,” Int. J. Heat Fluid Flow, 21 , pp. 403–411.

Cheng, C. H., Huang, S. Y., and Aung, W., 2002, “Numerical Predictions of Mixed Convection and Flow Separation in a Vertical Duct With Arbitrary Section,” Numer. Heat Transfer, Part A, 41 , pp. 491–514.

Nesreddin, H., Galanis, N., and Nguyen, C. T., 1998, “Effects of Axial Diffusion on Laminar Heat Transfer With Low Pelect Numbers in the Entrance Region of Thin Vertical Tubes,” Numer. Heat Transfer, Part A, 33 , pp. 247–266.

Zeldin, B., and Schmidt, F. W., 1972, “Developing Flow With Combined Forced—Free Convection in an Isothermal Vertical Tube,” ASME J. Heat Transfer, 94 , pp. 211–223.

Behzadmehr, A., Galanis, N., and Laneville, A., 2002, “Laminar-Turbulent Transition for Low Reynolds Number Mixed Convection in a Uniformly Heated Vertical Tube,” Int. J. Numer. Methods Heat Fluid Flow, 12 , pp. 839–854.

Mahaney, H. V., Incropera, F. P., and Ramadhyani, S., 1987, “Development of Laminar Mixed Convection Flow in a Horizontal Rectangular Duct With Uniform Bottom Heating,” Numer. Heat Transfer, 12 , pp. 137–155.

Nazrul, I., Gatonde, U. N., and Sharma, G. K., 2001, “Mixed Convection Heat Transfer in the Entrance Region of Horizontal Annuli,” Int. J. Heat Mass Transfer, 44 , pp. 2107–2120.

Nguyen, C. T., and Galanis, N., 1986, “Combined Forced and Free Convection for the Developing Laminar Flow in Horizontal Tubes Under Uniform Heat Flux,” Numerical Numerical Methods in Thermal Problems Conference , Montreal, Canada, 5 , Part 1, pp. 414–425.

Mare, T., Galanis, N., Pretot, S., and Miriel, J., 2005, “Mixed Convection With Flow Reversal in the Entrance Region of Inclined Tubes,” Int. J. Numer. Methods Heat Fluid Flow, 15 , pp. 740–756.

Lei, Q. M., and Trupp, A. C., 1991, “Experimental Study of Laminar Mixed Convection in the Entrance Region of a Horizontal Semicircular Duct,” Int. J. Heat Mass Transfer, 34 (9) pp. 2361–2372.

Busedra, A. A., and Soliman, H. M., 2000, “Experimental Investigation of Laminar Mixed Convection in an Inclined Semicircular Duct Under Buoyancy Assisted and Opposed Conditions,” Int. J. Heat Mass Transfer, 43 , pp. 1103–1111.

El. Hasadi, Y. M. F., 2006, “Numerical Prediction of Laminar Mixed Convection in the Entrance Region Horizontal Circular Sector Ducts,” M.Sc. thesis, University of Garyounis, Benghazi, Libya.

Patankar, S. V., and Spalding, D. B., 1972, “A Calculation Procedure for Heat, Mass and Momentum Transfer in Three-Dimensional Parabolic Flows,” Int. J. Heat Mass Transfer

[CrossRef], 15 , pp. 1787–1806.

Prakash, C., and Liu, Ye-Di., 1985, “Analysis of Laminar Flow and Heat Transfer in the Entrance Region of an Internally Finned Circular Duct,” ASME J. Heat Transfer, 107 , pp. 84–91.

Pantakar, S. V., 1980, "*Numerical Heat Transfer and Fluid Flow*", Mc Graw–Hill, New York.

Lei, Q. M., and Trupp, A. C., 1989, “Maximum Velocity Location and Pressure Drop of Fully Developed Laminar Flow in Circular Sector Ducts,” ASME J. Heat Transfer, 111 , pp. 1085–1087.

Lei, Q. M., and Trupp, A. C., 1989, “Further Analyses of Laminar Flow Heat Transfer in Circular Sector Ducts,” ASME J. Heat Transfer, 111 , pp. 1088–1090.

Lei, Q. M., 1990, “Numerical and Experimental Study of Laminar Mixed Convection in a Horizontal Semicircular Duct,” Ph.D. thesis, University of Manitoba, Winnipeg, Canada.

Orfi, J., Galanis, N., and Nguyen, C. T., 1999, “Bifurcation in Steady Laminar Mixed Convection Flow in Uniformly Heated Inclined Tubes,” Int. J. Numer. Methods Heat Fluid Flow, 9 , pp. 543–567.

Maghan, J. R., and Incropera, F. P., 1987, “Experiments on Mixed Convection Heat Transfer for Airflow in a Horizontal and Inclined Channel,” Int. J. Heat Mass Transfer

[CrossRef], 30 , pp. 1307–1318.