[ Log In | Register]
! Skip Navigation Links
Skip Navigation Links
Image of Journal of Applied Nonlinear Dynamics
ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Non-Darcy Porous Medium of Brownian Motion and Thermophoresis on Mixed Convection Nanofluid Flow Past a Wedge with Double Dispersion

Journal of Applied Nonlinear Dynamics 14(1) (2025) 175--188 | DOI:10.5890/JAND.2025.03.012

S.V. Padma$^1$, M.P. Mallesh$^{1}$, Shankar Rao Munjam$^{2, 3}$, Kottakkaran Sooppy Nisar$^{2, 4}$

$^{1}$ Department of Mathematics, Koneru Lakshmaiah Education Foundation, Hyderabad Campus, Aziz Nagar Village, Moinabad (M), R.R Dist, Hyderabad-500075, Telangana, India

$^2$ School of Technology, Woxsen University, Hyderabad, Telengana-502345, India.

$^3$ Department of Basic Science, University of the Peoples, Pasadena, California, CA91101, U.S.A.

$^4$ Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University Alkharj 11942, Saudi Arabia

Download Full Text PDF

 

Abstract

The aim of this numerical simulation is to investigate the heat and mass transfer on mixed convection nanofluid flow over a vertical wedge with double dispersion, thermophoresis and Brownian motion. Non-similarity transformations are used to transform the continuum equations which govern the flow in to dimensionless form and the obtained ordinary differential equations are evaluated using Shooting with Runge Kutta 4th order. The emerging parameters such as $D_f$ and $D_s$ - Solutal and thermal, $N_r$ -Buoyancy ratio, $N_t$ -Thermophoresis, $N_b$ -Brownian motion, and $m$ -wedge angle impacts on coefficients of heat and mass transfer, Concentration, Temperature, and Velocity are demonstrated through tables and graphs. The coefficient of heat and mass transfer amplifies with amplification in $m$. The outcome of the current investigation is accurate when compared with existing work. The present article is suitable to the solutal and thermal flow of nanomaterials processing in environmental engineer-ing, the chemical industry, and food technology.

Acknowledgments

First author would like to thank KLEF for providing fulltime fellowship for research work and we are also grateful to Editors and Reviewers for their valuable suggestions.

References

  1. [1]  Kumari, M., Takhar, H.S., and Nath, G. (2001), Mixed convection flow over a vertical wedge embedded in a highly porous medium, Heat and Mass Transfer, 37, 139-146.
  2. [2]  Hsiao, K.L. (2011), MHD mixed convection for viscoelastic fluid past a porous wedge, International Journal of Non-Linear Mechanics, 46, 1-8.
  3. [3]  Singh, P.J., Roy, S., and Ravindran, R. (2009), Unsteady mixed convection flow over a vertical wedge, International Journal of Heat and Mass Transfer, 52, 415-421.
  4. [4]  Gorla, R.S.R., Chamkha, A., and Rashad, A.M. (2010), Mixed convective boundary layer flow over a vertical wedge embedded in a porous medium saturated with a nanofluid, Thermal Issue in Emerging Technologies, 1-7. DOI:10.1109/THETA.2010.5766429.
  5. [5]  Chamkha, A.J., Abbasbandy, S., Rashad, A.M., and Vajravelu, K. (2012), Radiation effects on mixed convection over a wedge embedded in a porous medium filled with a nanofluid, Transport Porous Media, 91, 261-279.
  6. [6]  Ellahi, R., Hassan, M., and Zeeshan, A. (2015), Aggregation effects on water base Al2O3-nanofluid over permeable wedge in mixed convection Asia Pacific Journal of Chemical Engineering 11(2), 1-10
  7. [7]  Ramesh Reddy, P., Abdul Gaffar, S., Khan, B.M.H., Venkatadri, K., and Anwar Beg, O. (2021), Mixed convection flows of hyperbolic fluid past an isothermal wedge with entropy: a mathematical study, Heat Transfer, 50(3), 2895-2928.
  8. [8]  Hussain, M., Jahan, S., Ranjha, Q.A., Ahmad, J., Jamil, M.K., and Ali, A. (2022), Suction/blowing impact on magneto-hydrodynamic mixed convection flow of Williamson fluid through stretching porous wedge with viscous dissi-pation and internal heat generation/absorption, Results in Engineering, 16, 1-10.
  9. [9]  Choi, S.U. and Eastman, J.A. (1995), Enhancing thermal conductivity of fluids with nanoparticles, ASME Interna-tional Mechanical Engineering Congress and Exposition, San Francisco, CA, November.
  10. [10]  Falkner, V.M. and Skan, S.W. (1931), Some approximate solutions of the boundary-layer equations, Philosophical Magazine, 12, 865-896.
  11. [11]  Kafoussias, N.G., and Nanousis, N.D. (1977), Magnetohydrodynamic laminar boundary layer flow over vertical wedge with suction or injection, Canadian Journal of Physics, 75, 733-745.
  12. [12]  Kumari, M. and Gorla, R.S.R. (1977), Combined convection along a non-isothermal wedge in a porous medium, Heat and Mass Transfer, 32, 393-398.
  13. [13]  Gorla, R.S.R., Chamka, A.J., and Rashad, A.M. (2011), Mixed convective boundary layer flow over a vertical wedge embedded in a porous medium saturated with a nanofluid: natural convection dominated regime, Nanoscale Research Letters, 6, 1-9.
  14. [14]  Meena, O.P. (2020), Mixed convection nanofluid flow over a vertical wedge saturated in a porous medium with influence of double dispersion using lie group scaling, Special Topics and Reviews in Porous Media: An International Journal, 11(3), 297-311.
  15. [15]  Mallesh, M.P., Rajesh, V., Kavitha, M., and Chamkha, A.J. (2020), Study of time dependent free convective kerosene nanofluid flow with viscous dissipation past a porous plate, AIP Conference Proceedings, 2246, 1-10.
  16. [16]  Bodduna, J., Mallesh, M.P., Balla, C.S. and Shehzad, S.A. (2022), Activation energy process in bio- convection nanoflu-id flow through porous cavity, Journal of Porous Media, 25(4), 37-51, DOI: v10.1615/JPorMedia.2022040230.
  17. [17]  Jamuna, B., Mallesh, M.P., Chandra Shekar, B., and Sabir Ali, S. (2022), Entropy generation through porous cavity containing nanofluid and gyrotactic microbes, International Journal of Modern Physics B, 37(13), p.2350128.
  18. [18]  Mallesh, M.P., Rajesh, V., and Kavitha, M. (2023), Time-dependent thermal convective circulation of hybrid nanoliquid past an oscillating porous plate with heat generation and thermal radiation, Journal of Applied Nonlinear Dynamics, 12(1), 171-189.
  19. [19]  Yogesh, D., Nazek, A., Reema, J., Abdul Razak, K., Laganathan, K., and Radhika Devi, V. (2023), Thermal onsets of viscous dissipation for radiative mixed convective flow of Jeffery nanofluid across a wedge, Symmetry, 15(2), 1-20.
  20. [20]  Taylor, G. (1953), Dispersion of soluble matter in solvent flowing slowly through a tube, Proceedings of the Royal Society of London Series A, Mathematical and Physical Sciences, 219(1137), 186-203.
  21. [21]  Aris, R. (1956), On the dispersion of a solute in a fluid flowing through a tube, Proceedings of the Royal Society of London Series A, Mathematical and Physical Sciences, 235(1200), 1-12.
  22. [22]  Neild, D.A. and Bejan, A. (2013), Convection in Porous Media, Fourth Edition, Springer-Verlag, New York.
  23. [23]  RamReddy, Ch. (2013), Effect of double dispersion on convective flow over a cone, International Journal of Non-Linear Science, 15(4), 309-321.
  24. [24]  El-Hakiem, M.A., Ahmad, F., and Hussain, S. (2014), Effect of Magnetic field and double dispersion on mixed convection heat and mass transfer in non-Darcy porous medium, Science International, 27(2), 845-852.
  25. [25]  Pranitha, J., Suman, G.V., and Srinivasacharya, D. (2015), Effect of double dispersion on mixed convection in a power-law fluid saturated porous medium with variable properties using lie scaling group transformations, Procedia Engineering, 127(1), 362-369.
  26. [26]  El-Hakiem, M.A. and Ansari, A.A. (2016), Effect of radiation and double dispersion on mixed convection heat and mass transfer in non-Darcy porous medium, Journal of Engineering and Applied Science, 3(1), 1-16.
  27. [27]  Arqub, O.A. (2016), The reproducing kernel algorithm for handling differential algebraic systems of ordinary differential equations, Mathematical Methods in Applied Sciences, 39(15), 4549-4562.
  28. [28]  Srinivasacharya, D., RamReddy, Ch., and Naveen, P. (2018), Double dispersion effect on nonlinear convective flow over an inclined plate in a micropolar fluid saturated non-Darcy porous medium, Engineering Science and Technology, an International Journal, 21(1), 984-995.
  29. [29]  Pranitha, J. and Om Prakash, M. (2020), Influence of double dispersion on natural convection flow over a vertical cone saturated porous media with soret and Dufour effects, The international Journal of Engineering and Science, 1805, 09-15.
  30. [30]  Naveen, P., RamReddy, Ch., and Srinivasacharya, D., (2022), Nonlinear convective flow of power-law fluid over an inclined plate with double dispersion effects and convective thermal boundary condition, Applied Analysis: Computation and Mathe-matical Modelling in Engineering, 897(1), 109-127.
  31. [31]  Maayah, B., Moussaoui, A., Bushnaq, S., and Abu Arqub, O. (2022), The multistep Laplace optimized decom-position method for solving fractional-order coronavirus disease model (COVID-19) via the Caputo fractional approach, Journal of Demonstratio Mathematica, 55(1), 963-977.
  32. [32]  Abu Arqub, O., Alsulami, H., and Alhodaly, M. (2022), Numerical Hilbert space solution of fractional Sobolev equation in (1+1)-dimensional space, Mathematical Sciences, 127(1).
  33. [33]  Arqub, O.A. and Maayah, B. (2023), Adaptive the Dirichlet model of mobile/immobile advection/dispersion in a time-fractional sense with the reproducing kernel computational approach: Formulations and approximations, International Journal of Modern Physics B, 37(18), p.2350179. DOI:10.1142/S0217979223501795.
  34. [34]  Narayana, M., Khadir, Ahmed A., Sibanda, P., and Murthy, P.V.S.N. (2013), Viscous dissipation and thermal radiation effects on mixed convection from a vertical plate in a non-Darcy porous medium, Transport porous media, 96(2), 419-428.
  35. [35]  Khidir, A. A., Narayana, M., Sibanda, P., and Murthy, P.V.S.N. (2015), Natural convection from a vertical plate immersed in a power-law fluid saturated non-Darcy porous medium with viscous dissipation and Soret effects, Afrika Matematika, 26(7), 1495-1518.
  36. [36]  Minkowycz, W.J. and Sparrow, E.M. (1974), Local non-similar solution for natural convection on a vertical cylinder, Journal of Heat Transfer, 96(2), 178-183.
  37. [37]  Sparrow, E.M. and Yu, H.S. (1971), Local non-similarity thermal boundary-layer solutions, ASME Journal of Heat Transfer, 93(4), 328-334.
  38. [38]  Conte, S.D. and De Boor, C. (1972), Elementary Numerical Analysis, McGraw-Hill, New York.
  39. [39]  Cebeci, T. and Bradshaw, P. (1984), Physical and Computational Aspects of Convective Heat Transfer, Springer, New York.
  40. [40]  J. Chamkha, A., Rashad, M., and Subba Reddy Gorla, R. (2014), non-similar solutions for mixed convection along a wedge embedded in a porous medium saturated by a non-Newtonian nanofluid Natural convection dominated regime, International Journal of Numerical Methods for Heat and Fluid Flow, 24(7), 1471-1486.

Copyright © 2011-2024 L & H Scientific Publishing. All rights reserved. Wildcard SSL Certificates