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PSEUDO-SPECTRAL AND VARIATIONAL ITERATION SIMULATION OF EXOTHERMICALLY-REACTING RIVLIN-ERICKSEN VISCOELASTIC FLOW AND HEAT TRANSFER IN A ROCKET PROPULSION DUCT

Volume 6, Issue 2, 2014, pp. 91-102
DOI: 10.1615/ComputThermalScien.2014010009
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ABSTRACT

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.

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  2. Ali N., Javid K., Sajid M., Anwar Bég O., Numerical simulation of peristaltic flow of a biorheological fluid with shear-dependent viscosity in a curved channel, Computer Methods in Biomechanics and Biomedical Engineering, 19, 6, 2016. Crossref

  3. Bhatti M.M., Zeeshan A., Ijaz N., Anwar Bég O., Kadir A., Mathematical modelling of nonlinear thermal radiation effects on EMHD peristaltic pumping of viscoelastic dusty fluid through a porous medium duct, Engineering Science and Technology, an International Journal, 20, 3, 2017. Crossref

  4. Adesanya Samuel O., Falade J.A., Jangili Srinivas, Anwar Bég O., Irreversibility analysis for reactive third-grade fluid flow and heat transfer with convective wall cooling, Alexandria Engineering Journal, 56, 1, 2017. Crossref

  5. AKBAR NOREEN SHER, TRIPATHI DHARMENDRA, BÉG O. ANWAR, MODELING NANOPARTICLE GEOMETRY EFFECTS ON PERISTALTIC PUMPING OF MEDICAL MAGNETOHYDRODYNAMIC NANOFLUIDS WITH HEAT TRANSFER, Journal of Mechanics in Medicine and Biology, 16, 06, 2016. Crossref

  6. Bég O. Anwar, Motsa S. S., Bég T. A., Abbas A. J., Kadir A., Sohail Ayesha, Numerical Study of Nonlinear Heat Transfer from a Wavy Surface to a High Permeability Medium with Pseudo-Spectral and Smoothed Particle Methods, International Journal of Applied and Computational Mathematics, 3, 4, 2017. Crossref

  7. Mehmood R., Tabassum Rabil, Kuharat S., Bég O. Anwar, Babaie M., Thermal Slip in Oblique Radiative Nano-polymer Gel Transport with Temperature-Dependent Viscosity: Solar Collector Nanomaterial Coating Manufacturing Simulation, Arabian Journal for Science and Engineering, 44, 2, 2019. Crossref

  8. Cao Qin-Liu, Massoudi Mehrdad, Liao Wen-He, Feng Feng, Wu Wei-Tao, Flow Characteristics of Water-HPC Gel in Converging Tubes and Tapered Injectors, Energies, 12, 9, 2019. Crossref

  9. Vasu B., Gorla R. S. R., Murthy P. V. S. N., Anwar Bég O., Entropy Analysis of a Convective Film Flow of a Power-Law Fluid with Nanoparticles Along an Inclined Plate, Journal of Applied Mechanics and Technical Physics, 60, 5, 2019. Crossref

  10. Amirsom Nur Ardiana, Uddin Md. Jashim, Md Basir Md Faisal, Kadir Ali, Bég O. Anwar, Md. Ismail Ahmad Izani, Computation of Melting Dissipative Magnetohydrodynamic Nanofluid Bioconvection with Second-order Slip and Variable Thermophysical Properties, Applied Sciences, 9, 12, 2019. Crossref

  11. Uddin Md. Jashim, Bég O. Anwar, Ismail Izani Md., Symmetry group and numerical study of non-Newtonian nanofluid transport in a porous medium with multiple convective boundary and nonlinear radiation, International Journal of Numerical Methods for Heat & Fluid Flow, 26, 5, 2016. Crossref

  12. Ferdows M., Alzahrani Faris, Similarity solution of MHD slip with energy mass transport through chemically reacting stretching permeable surface in porous media with variable properties, Physica A: Statistical Mechanics and its Applications, 545, 2020. Crossref

  13. Akter Shahina, Ferdows M, Bég Tasveer A, Bég O Anwar, Kadir A, Sun Shuyu, Spectral relaxation computation of electroconductive nanofluid convection flow from a moving surface with radiative flux and magnetic induction, Journal of Computational Design and Engineering, 8, 4, 2021. Crossref

  14. Shukla Nisha, Rana Puneet, Pop Ioan, Second law thermodynamic analysis of thermo-magnetic Jeffery–Hamel dissipative radiative hybrid nanofluid slip flow: existence of multiple solutions, The European Physical Journal Plus, 135, 10, 2020. Crossref

  15. Mallikarjuna B., Srinivas J., Krishna G. Gopi, Bég O. Anwar, Kadir Ali, Spectral Numerical Study of Entropy Generation in Magneto-Convective Viscoelastic Biofluid Flow Through Poro-Elastic Media With Thermal Radiation and Buoyancy Effects, Journal of Thermal Science and Engineering Applications, 14, 1, 2022. Crossref

  16. Bin Mizan Md. Rezwan, Ferdows Mohammad, Shamshuddin MD., Bég O. Anwar, Salawu Sulyman O., Kadir Ali, Computation of ferromagnetic/nonmagnetic nanofluid flow over a stretching cylinder with induction and curvature effects, Heat Transfer, 50, 6, 2021. Crossref

  17. Reddy G. Janardhana, Hiremath Ashwini, Kumar Mahesh, Bég O. Anwar, Kadir Ali, Unsteady magnetohydrodynamic couple stress fluid flow from a shrinking porous sheet: Variational iteration method study, Heat Transfer, 51, 2, 2022. Crossref

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