Radiative heat transfer analysis of non-Newtonian dusty Casson fluid flow along a complex wavy surface

References

• G. Rudinger, Fundamentals of Gas-Particle Flow. Amsterdam: Elsevier Scientific Publishing Co., 1980.
   Google Scholar
• A. Berlemont, P. Desjonqueres, and G. Gouesbet, “Particle Lagrangian simulation in turbulent flows,” Int. J. Multiphase Flow, vol. 16, pp. 19–34, 1990.
   Web of Science ®Google Scholar
• F. E. Marble, “Dynamics of a gas containing small solid particles, combustion and propulsion,” 5th AGARD colloquium, pp. 175–213. New York: Pergamon Press, 1963.
   Google Scholar
• L. Farbar and M. J. Morley, “Heat transfer to flowing gas–solid mixtures in a circular tube,” Ind. Eng. Chem., vol. 49, pp. 1143–1150, 1957.
   Google Scholar
• P. G. Saffman, “On the stability of laminar flow of a dusty gas,” J. Fluid Mech., vol. 13, pp. 120–128, 1962.
   Web of Science ®Google Scholar
• R. E. Singleton, “Fluid mechanics of gas–solid particle flow in boundary layers,” Ph.D. thesis, California Institute of Technology, 1964.
   Google Scholar
• S. Siddiqa, N. Begum, M. A. Hossain, and N. Massarotti, “Influence of thermal radiation on contaminated air and water flow past a vertical wavy frustum of a cone,” Int. Commun. Heat Mass, vol. 76, pp. 63–68, 2016.
   Web of Science ®Google Scholar
• S. Siddiqa, N. Begum, M. A. Hossain, and R. S. R. Gorla, “Numerical solutions of natural convection flow of a dusty nanofluid about a vertical wavy truncated cone,” J. Heat Transfer, vol. 139, Article No. 022503, 2016.
   PubMed Web of Science ®Google Scholar
• N. Casson, “A flow equation for pigment oil-suspensions of the printing ink type,” in Rheology of Disperse Systems, C. C. Mill, Ed. London: Pergamon Press, 1959, pp. 84–104.
   Google Scholar
• N. Casson and C. C. Mills, Rheology of Disperse Systems. New York: Pergamon, 1959.
   Google Scholar
• N. T. M. Eldabe and M. G. E. Salwa, “Heat transfer of MHD non-Newtonian Casson fluid flow between two rotating cylinder,” J. Phys. Soc. Jpn., vol. 64, pp. 41–64, 1995.
   Google Scholar
• R. B. Bird, G. C. Dai, and B. J. Yarusso, “The rheology and flow of viscoplastic materials,” Rev. Chem. Eng., vol. 1, pp. 1–70, 1983.
   Google Scholar
• P. Chaturani and R. Ponnalagarsamy, “Pulsatile flow of Casson fluid through stenosed arteries with applications to blood flow,” Biorheology, vol. 23, pp. 499–511, 1986.
   PubMed Web of Science ®Google Scholar
• R. L. Batra and B. Das, “Secondary flow of a Casson fluid in a slightly curved tube,” Int. J. Non-Linear Mech., vol. 28, pp. 567–580, 1995.
   Web of Science ®Google Scholar
• P. Neofytou, “Transition to asymmetry of generalised Newtonian fluid flows through a symmetric sudden expansion,” J. Nonnewtonian Fluid Mech., vol. 133, pp. 132–140, 1996.
   Google Scholar
• S. Shaw, R. S. R. Gorla, P. V. S. N. Murthy, and Chiu-On Ng, “Pulsatile Casson fluid flow through a stenosed bifurcated artery,” Int. J. Fluid Mech. Res., vol. 36, pp. 43–63, 2009.
   Google Scholar
• S. Mukhopadhyay and C. Mandal, “Boundary layer flow and heat transfer of a Casson fluid past a symmetric porous wedge with surface heat flux,” Chin. Phys. B, vol. 23, pp. 044702, 2014.
   Web of Science ®Google Scholar
• J. Venkatesan, D. S. Sankar, K. Hemalatha, and Y. Yatim, “Mathematical analysis of Casson fluid model for blood rheology in stenosed narrow arteries,” J. Appl. Math., vol. 2013, pp. 1–11, 2013.
   Google Scholar
• N. El-Dabe, A. Ghaly, R. Rizkallah, K. Ewis, and A. Al-Bareda, “Numerical solution of MHD boundary layer flow of non-Newtonian Casson fluid on a moving wedge with heat and mass transfer and induced magnetic field,” J. Appl. Math. Phys., vol. 3, pp. 649–663, 2015.
   Google Scholar
• M. N. Özisik, Radiative Transfer and Interactions with Conduction and Convection. NewYork: John Wiley & Sons, 1973.
   Google Scholar
• E. M. Sparrow and R. D. Cess, “Radiation heat transfer, augmented edition, hemisphere media,” Int. J. Heat Mass Transfer, vol. 5, pp. 179–806, 1962.
   Google Scholar
• R. D. Cess, “The interaction of thermal radiation in boundary-layer heat transfer,” Proceedings of 3rd International Heat Transfer Conference, vol. 5, pp. 154–163, Chicago, August 1966.
   Google Scholar
• M. M. Molla and M. A. Hossain, “Radiation effect on mixed convection laminar flow along a vertical wavy surface,” Int. J. Therm. Sci., vol. 46, pp. 926–935, 2007.
   Web of Science ®Google Scholar
• S. Siddiqa, A. Faryad, N. Begum, M. A. Hossain, and R. S. R. Gorla, “Periodic magnetohydrodynamic natural convection flow of a micropolar fluid with radiation,” Int. J. Therm. Sci., vol. 111, pp. 215–222, 2017.
   Web of Science ®Google Scholar
• S. Siddiqa, N. Begum, and M. A. Hossain, “Radiation effects from an isothermal vertical wavy cone with variable fluid properties,” Appl. Math. Comput., vol. 289, pp. 149–158, 2016.
   Web of Science ®Google Scholar
• L. S. Yao, “Natural convection along a vertical wavy surface,” J. Heat Transfer, vol. 105, pp. 465–468, 1983.
   Web of Science ®Google Scholar
• L. S. Yao, “Natural convection along a vertical complex wavy surface,” Int. J. Heat Transfer, vol. 49, pp. 281–286, 2006.
   Web of Science ®Google Scholar
• S. G. Molic and L. S. Yao, “Natural convection along a wavy surface with uniform heat flux,” J. Heat Transfer, vol. 111, pp. 1106–1108, 1989.
   Web of Science ®Google Scholar
• D. A. S. Rees and I. Pop, “Free convection induced by a vertical wavy surface with uniform heat flux in a porous medium,” J. Heat Transfer, vol. 117, pp. 545–550, 1995.
   Web of Science ®Google Scholar
• I. Pop and T. Y. Na, “Natural convection over a vertical wavy frustum of a cone,” Int. J. Non Linear Mech., vol. 34, pp. 925–934, 1999.
   Web of Science ®Google Scholar