THERMAL SCIENCE

International Scientific Journal

MODELING AND ANALYSIS OF THE IMPACT OF EXOTHERMIC CATALYTIC CHEMICAL REACTION AND VISCOUS DISSIPATION ON NATURAL CONVECTION FLOW DRIVEN ALONG A CURVED SURFACE

ABSTRACT
The impact of exothermic catalytic chemical reaction and viscous dissipation on natural-convection heat transfer along the curved shape is investigated. In this study, the trend of exothermic catalytic chemical reaction has been introduced in the energy and mass concentration equation. Furthermore, the tangential compo­nent of acceleration due to gravity, gx, as buoyancy force has coupled in momentum equation describe the curved shape. The flow model of the problem is formulated in terms of coupled non-linear PDE together with suitable boundary conditions. From the numerical solutions of the governing equations, it is found that velocity field, temperature distribution and the mass concentration is associated with the dimensionless parameters involved in the flow model. The novelty of the current study is that the characteristics of heat and fluid-flow mechanism are specifically associated with the different values of index parameter n.
KEYWORDS
PAPER SUBMITTED: 2020-04-15
PAPER REVISED: 2020-05-05
PAPER ACCEPTED: 2020-05-10
PUBLISHED ONLINE: 2020-10-25
DOI REFERENCE: https://doi.org/10.2298/TSCI20S1001A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Supplement 1, PAGES [S1 - S11]
REFERENCES
  1. Gebhart, B., Effects of Viscous Dissipation in Natural-Convection, Journal of Fluid Mechanics, 14 (1962), 2, pp. 225-232
  2. Gebhart, B., Mollendorf, J., Viscous Dissipation in External Natural-Convection Flows, Journal of Fluid Mechanics, 38 (1969), 1, pp. 97-107
  3. Soundalgekar, V. M., Viscous Dissipation Effects on Unsteady Free Convection Flow Past an Infinite, Vertical Porous Plate with Constant Suction, International Journal of Heat and Mass Transfer, 15 (1972), 6, pp. 1253-1261
  4. Ingham, D. B., et al., Combined Free and Forced Convection in a Porous Medium between Two Vertical Walls with Viscous Dissipation, Transport in Porous Media, 5 (1990), Aug., pp. 381-398
  5. Pop, I., Takhar, H. S., Free Convection from a Curved Surface, Journal of Applied Mathematics and Mechanics, 73 (1993), 6, pp. 534 -539
  6. Magyari, E. E., et al., A Note on the Free Convection from Curved Surfaces, Journal of Applied Mathematics and Mechanics, 82 (2002), 2, pp. 142-144
  7. Hossain, A., et al., Viscous Dissipation Effects on Natural-Convection from a Vertical Plate with Uniform Surface Heat Flux Placed in a Thermally Stratified Media, International Journal of Fluid Mechanics Research, 32 (2005), 3, pp. 269-280
  8. Alam, M. M., et al., Effects of Pressure Stress Work and Viscous Dissipation in Natural-Convection Flow Along a Vertical Flat Plate with Heat Conduction, Journal of Naval Architecture and Marine Engineering, 3 (2006), 2, pp. 69-76
  9. Alam, M. M., et al., Viscous Dissipation Effects on MHD Natural-Convection Flow over a Sphere in the Presence of Heat Generation, Non-Linear Analysis, Modelling and Control, 12 (2007), 4, pp. 447-459
  10. Mamun, A. A., et al., The MHD Conjugate Heat Transfer Analysis for a Vertical Plate in Presence of Viscous Dissipation and Heat Generation, International Communications in Heat and Mass Transfer, 35 (2008), 10, pp. 1275-1280
  11. Mahdy, A., Chamkha, A. J., Chemical Reaction and Viscous Dissipation Effects on Darcy-Forchheimer Mixed Convection in a Fluid Saturated Porous Media, International Journal of Numerical Methods for Heat and Fluid-Flow, 20 (2010), 8, pp. 924-940
  12. Maleque, K. A., Effects of Exothermic Endothermic Chemical Reactions with Arrhenius Activation Energy on MHD Free Convection and Mass Transfer Flow in the Presence of Thermal Radiation, Journal of Thermodynamics, 2013 (2013), 11, ID692516
  13. Parveen, N., et al., Viscous Dissipation Effect on Natural-Convection Flow Along a Vertical Wavy Surface, Procedia Engineering, 90 (2014), Apr., pp. 294-300
  14. Ashraf, M., et al., Periodic Momentum and Thermal Boundary-Layer Mixed Convection Flow Around the Surface of Sphere in the Presence of Viscous Dissipation, Canadian Journal of Physics, 95 (2017), 10, pp. 976-986
  15. Ashraf, M., Fatima, A., Numerical Simulation of the Effect of Transient Sheer Stress and Rate of Heat Transfer Around Different Position of Sphere in the Presence of Viscous Dissipation, Journal of Heat Transfer (ASME), 140 (2018), 12, 061701
  16. Inc, M., et al., The N-Wave and Other Solutions to the B-Type Kadomtsev-Petviashvili Equation, Thermal Science, 23 (2019), Suppl. 6, pp. S2027-S2035
  17. Akgul A., et al., New Method for Investigating the Density Dependent Diffusion Nagumo Equation, Thermal Science, 22 (2018), Suppl. 1, pp. S143-S152
  18. Inc, M., et al., Modified Variational Iteration Method for Straight Fins with Temperature Dependent Thermal Conductivity, Thermal Science, 22 (2018), Suppl. 1, pp. S229-S236
  19. Kilicman A., et al., Analytical Approximate Solution for Fluid-Flow in the Presence of Heat and Mass Transfer, Thermal Science, 22 (2018), Suppl. 1, pp. S259-S264
  20. Hashemi M. S., et al., On Fractional KdV-Burgers and Potential KdV Equations: Existence and Uniqueness Results, Thermal Science, 23 (2019), Suppl. 6, pp. S2107-S2117
  21. Partohaghighi, M., et al., Fictious Time Integration Method for Solving the Time Fractional Gas Dynamic Equation, Thermal Science, 23 (2019), Suppl. 6, pp. S2009-S2016
  22. Ashraf, M., et al., Computational Analysis of Natural-Convection Flow Driven Along Curved Surface in the Presence of Exothermic Catalytic Chemical Reaction, Computational Thermal Sciences, 11 (2019), 4, pp. 339-351

© 2021 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence