RT Journal Article ID 5ecf582f4fad5a10 A1 Bég, O. Anwar A1 Motsa, Sandile S. A1 Islam, M. Nazrul A1 Lockwood, Matthew T1 PSEUDO-SPECTRAL AND VARIATIONAL ITERATION SIMULATION OF EXOTHERMICALLY-REACTING RIVLIN-ERICKSEN VISCOELASTIC FLOW AND HEAT TRANSFER IN A ROCKET PROPULSION DUCT JF Computational Thermal Sciences: An International Journal JO CTS YR 2014 FD 2014-06-18 VO 6 IS 2 SP 91 OP 102 K1 hybrid gel propellants K1 chemical reaction K1 viscoelastic flow K1 thermal K1 exothermic K1 viscoelastic K1 Biot number K1 Frank-Kamenetskii parameter K1 pseudo-spectral method K1 variational iteration method K1 viscous heating K1 activation energy AB A pseudo-spectral numerical method is employed to study the steady, laminar, incompressible flow and heat transfer in a cylindrical conduit, as a simple model of non-Newtonian reactive gel propellant flow in a hybrid rocket chamber. Convective cooling is included The exothermic reaction is modeled using Arrhenius kinetics and a third grade non-Newtonian Rivlin-Ericksen ("differential" fluid) model employed to simulate viscoelastic effects. The dimensionless momentum and energy conservation equations are solved under appropriate boundary conditions. The effects of viscoelastic parameter (γ), activation energy parameter (ε), Frank-Kamenetskii parameter (λ), Biot number (Bi), and viscous heating parameter (m) on velocity and temperature evolution in the regime are studied in detail. Excellent correlation between the present pseudo-spectral simulations, Maple quadrature, and a variational iteration method (VIM) is achieved. The study has important applications in hybrid aerospace propulsion systems utilizing reactive gels and further confirms the excellent stability and adaptability of pseudo-spectral and variational iteration techniques in nonlinear aerospace fluid mechanics simulations. PB Begell House LK https://www.dl.begellhouse.com/journals/648192910890cd0e,7fa55e471724fdbd,5ecf582f4fad5a10.html