Theoretical analysis of thermal entrance problem for blood flow: An extension of classical Graetz problem for Casson fluid model using generalized orthogonality relations
Sign Up to like & getrecommendations! Published in 2019 at "International Communications in Heat and Mass Transfer"
DOI: 10.1016/j.icheatmasstransfer.2019.104314
Abstract: Abstract An analysis of classical Graetz problem is carried out for the case of fluid obeying the Casson constitutive equation. The considered model physically corresponds to the thermal entry flow of blood in a duct.… read more here.
Keywords: analysis; number; thermal entrance; graetz problem ... See more keywords
Analytical solution of the Graetz problem for non-linear viscoelastic fluids in tubes of arbitrary cross-section
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Thermal Sciences"
DOI: 10.1016/j.ijthermalsci.2016.05.034
Abstract: Abstract Graetz problem is solved analytically for steady laminar flow of non-linear viscoelastic fluids in straight tubes of arbitrary cross-section. The one-to-one mapping method used to model the cross-sectional geometry satisfies the no-slip and thermal… read more here.
Keywords: linear viscoelastic; arbitrary cross; non linear; cross ... See more keywords
Analytical solutions for extended Graetz problem in infinite domains via integral transforms
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DOI: 10.1016/j.ijthermalsci.2021.107093
Abstract: Abstract A methodology for obtaining analytical solutions for the extended Graetz problem including the effects of axial conduction, viscous dissipation heating, and additional volumetric heating effects in an infinite domain has been developed. The domain… read more here.
Keywords: number; methodology; extended graetz; graetz problem ... See more keywords
Exact Graetz problem solution by using hypergeometric function
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DOI: 10.18280/ijht.350216
Abstract: This paper proposes an exact solution of the classical Graetz problem in terms of an infinite series represented by a nonlinear partial differential equation considering two space variables, two boundary conditions and one initial condition.… read more here.
Keywords: problem solution; graetz problem; solution; exact graetz ... See more keywords