Journals / Journal of Thermal Engineering / 2020 / Cilt: 6 - Sayı: 2

DIFFERENTIAL TRANSFORMATION METHOD FOR ANALYSIS OF NONLINEAR FLOW AND MASS TRANSFER THROUGH A CHANNEL FILLED WITH A POROUS MEDIUM

Pages
24–40
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Also, the effects of some pertinent parameters such as Reynolds number, Darcy number, Schmidt number and suction/injection parameter on velocity components, heat transfer, concentration, and Sherwood distribution are presented in this work.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, mass transfer and chemical reaction effects on laminar viscous flow through a porous channel with moving or stationary walls are studied.
📊
Key Findings & Data:The governing partial differential equations of the physical problem are transformed into a set of coupled nonlinear ordinary differential equations using similarity transformation.
💡
Conclusion & Impact:Also, the effects of some pertinent parameters such as Reynolds number, Darcy number, Schmidt number and suction/injection parameter on velocity components, heat transfer, concentration, and Sherwood distribution are presented in this work.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Heat Transfer · Chemical Reaction · Boundary Value Problem

Abstract

In this paper, mass transfer and chemical reaction effects on laminar viscous flow through a porous channel with moving or stationary walls are studied. The governing partial differential equations of the physical problem are transformed into a set of coupled nonlinear ordinary differential equations using similarity transformation. The coupled nonlinear ordinary differential equations are solved using differential transform method (DTM). The results obtained through the approximate analytical method are compared with the results of numerical method and high accuracy of the present approximate analytical solution is observed. The valuable achievement of the present study is imbedding a precise and efficient analytical method for the flow of viscous fluid in a porous channel with a chemical reaction. Also, the effects of some pertinent parameters such as Reynolds number, Darcy number, Schmidt number and suction/injection parameter on velocity components, heat transfer, concentration, and Sherwood distribution are presented in this work.

🔖

Cite This Article

HATAMİ, M., MOSAYEBİDORCHEH, S., MOSAYEBİDORCHEH, T., VATANİ, M., GANJİ, D. (2022). DIFFERENTIAL TRANSFORMATION METHOD FOR ANALYSIS OF NONLINEAR FLOW AND MASS TRANSFER THROUGH A CHANNEL FILLED WITH A POROUS MEDIUM. Journal of Thermal Engineering, Cilt: 6 - Sayı: 2, 24–40. https://ajindex.com/articles/566732

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (13)

  1. Cox SM. Two-dimensional flow of a viscous fluid in a channel with porous walls. Journal of Fluid Mechanics. 1991 Jun;227:1-33. doi:10.1017/S0022112091000010
  2. Debruge LL, Han LS. Heat transfer in a channel with a porous wall for turbine cooling application. Journal of Heat Transfer, 1972, 94: 385-390. doi: 10.1115/1.3449956
  3. Durst F, Haas R, Interthal W. The nature of flows through porous media. Journal of Non-Newtonian Fluid Mechanics. 1987 Jan 1;22(2):169-89. doi: 10.1016/0377-0257(87)80034-4
  4. Rajagopal KR, Saccomandi G, Vergori L. Linear stability of Hagen–Poiseuille flow in a chemically reacting fluid. Computers & Mathematics with Applications. 2011 Jan 1;61(2):460-9. doi: 10.1016/j.camwa.2010.11.026
  5. Bég OA, Makinde OD. Viscoelastic flow and species transfer in a Darcian high-permeability channel. Journal of Petroleum Science and Engineering. 2011 Mar 1;76(3-4):93-9. doi: 10.1016/j.petrol.2011.01.008
  6. Hayat T, Abbas Z. Channel flow of a Maxwell fluid with chemical reaction. Zeitschrift für angewandte Mathematik und Physik. 2008 Jan 1;59(1):124-44. doi: 10.1007/s00033-007-6067-1
  7. Rundora L, Makinde OD. Effects of suction/injection on unsteady reactive variable viscosity non-Newtonian fluid flow in a channel filled with porous medium and convective boundary conditions. Journal of Petroleum Science and Engineering. 2013 Aug 1;108:328-35. doi: 10.1016/j.petrol.2013.05.010
  8. Chinyoka T, Makinde OD. Computational dynamics of unsteady flow of a variable viscosity reactive fluid in a porous pipe. Mechanics Research Communications. 2010 Apr 1;37(3):347-53. doi: 10.1016/j.mechrescom.2010.02.007
  9. Srinivas S, Muthuraj R. Effects of chemical reaction and space porosity on MHD mixed convective flow in a vertical asymmetric channel with peristalsis. Mathematical and Computer Modelling. 2011 Sep 1;54(5-6):1213-27. doi: 10.1016/j.mcm.2011.03.032
  10. Makinde OD. Computer extension and bifurcation study by analytic continuation of porous tube flow. Jour. Math. Phys. Sci. 1996;30:1-24
  11. Makinde OD. Extending the utility of perturbation series in problems of laminar flow in a porous pipe and a diverging channel. The ANZIAM Journal. 1999 Jul;41(1):118-28. doi: 10.1017/S0334270000011073
  12. Makinde OD and Tay G. Numerical computation of bifurcation for steady flow in a converging channel with accelerating surface. A. M. S. E. Modelling, Measurement & Control B. 1999: 68 (1): 33-43
  13. Makinde OD, Moitsheki RJ. On nonperturbative t