Indian Journal of Chemical Technology

Open Access Open Access  Restricted Access Subscription Access

Mixed Convection Flow over Non-Darcy Porous Stretching/Shrinking Sheet


Affiliations
1 Department of Mathematics, Agra College, Agra-282 004, Uttar Pradesh, India
2 Department of Mathematics, MNIT Jaipur-302 017, Rajasthan, India
3 Directorate of Online Education, Manipal University Jaipur-303 007, Rajasthan, India
 

An investigation has been carried out on heat and mass transport phenomena for mixed-convection flow over a vertically non-Darcy Forchheimer porous stretching/shrinking sheet considering the Soret - Dufour effects. With consideration of the appropriate similarity framework, the fundamental governing flow equations are converted into a system of non-dimensional equations. The bvp4c, a built-in solver of MATLAB software, is utilized to compute the numerical results of the flow problem. The present model is validated with previously published literature. The impacts of several related flow parameters on velocity, temperature, and concentration profiles have been displayed graphically. Also, the mass and heat transfer rates along with the coefficients of skin friction are calculated and discussed numerically. It is found that an increment in the thermal radiation parameter increases the fluid temperature, and the concentration gradient boosts up for the enhancement of the Soret number.

Keywords

Chemical Reaction, Non-Darcy Permeable Medium, Soret-Dufour Effects, Thermal Radiation.
User
Notifications
Font Size

  • Schlichting H & Gersten K, Boundary Layer Theory. Springer, New York (2001).

  • Bejan A, Convective Heat Transfer, 3rd Edn. Wiley, New York (2013).

  • Sakiadis B C, AIChE J, 7 (1961) 26.

  • Crane L J, J Appl Math Phys, 21 (1970) 645.

  • Pal D & Mondal H, Commun Nonlinear Sci Numer Simul, 16 (2011)1942.

  • Hemalatha K, Kameswaran P K & Madhavi M V D N S, Sadhana, 40 (2015) 455.

  • Aghbari A, Agha H A & Sadaoui D, J Mech, 35 (2019) 851.

  • Sharma K, Pramana J Phys, 95 (2021) 113.

  • Ahmed N & Choudhury K, Heat Transfer Asian Res, 48 (2019) 644.

  • Bordoloi R & Ahmed N, Biointerface Res Appl Chem, 12 (2021) 7685.

  • Joly F, Vasseur P & Labrosse G, Int Commun Heat Mass Tran, 27 (2000) 755.

  • Bekezhanova V B & Goncharova O N, Int J Heat Mass Tran, 154 (2020) 119696.

  • Salleh S N A, Bachok N, Arifin N M & Ali F M, Alex Eng J, 59 (2020) 3897.

  • Daniel Y S, Aziz Z A, Ismail Z & Salah F, J King Saud Univ Sci, 31 (2019) 804.

  • Mittal A S & Patel H R, Phys A: Stat Mech Appl, 537 (2020) 122710.

  • Sharma K, Kumar S, Narwal A, Oudina F M & Animasaun I L, Int J Appl Comput Math, 8 (2022) 159.

  • Vijay N & Sharma K, Multidiscip Model Mater Struct, 19 (2023) 253.

  • Sharma K, Goyal R, Joshi V K, Bhardwaj S B, Singh R M & Makinde O D, Indian J Eng Mater Sci, 30 (2023) 283.

  • Sharma K, Vijay N, Ram D & Animasaun I L, Numer Heat Transf A: Appl, 84 (2023) 980.

  • Dzulkifli N F, Bachok N, Yacob N A, Arifin N Md, Rosali H & Pop I, J Eng Math, 132 (2022) 1.

  • Ram P, Singh H, Kumar R, Kumar V & Joshi V K, Int J Appl Comput Math, 3 (2017) 261.

  • Kumar S & Sharma K, Chin J Phys, 77 (2022) 861.

  • Sharma K, Heat Transfer, 51 (2022) 4377.

  • Sunil, Garg D, Joshi V K, Sharma K & Kumar S, Pramana J Phys, 97 (2023) 1.


Abstract Views: 115

PDF Views: 53




  • Mixed Convection Flow over Non-Darcy Porous Stretching/Shrinking Sheet

Abstract Views: 115  |  PDF Views: 53

Authors

Laltesh Kumar
Department of Mathematics, Agra College, Agra-282 004, Uttar Pradesh, India
Atar Singh
Department of Mathematics, Agra College, Agra-282 004, Uttar Pradesh, India
Kushal Sharma
Department of Mathematics, MNIT Jaipur-302 017, Rajasthan, India
Vimal Kumar Joshi
Directorate of Online Education, Manipal University Jaipur-303 007, Rajasthan, India

Abstract


An investigation has been carried out on heat and mass transport phenomena for mixed-convection flow over a vertically non-Darcy Forchheimer porous stretching/shrinking sheet considering the Soret - Dufour effects. With consideration of the appropriate similarity framework, the fundamental governing flow equations are converted into a system of non-dimensional equations. The bvp4c, a built-in solver of MATLAB software, is utilized to compute the numerical results of the flow problem. The present model is validated with previously published literature. The impacts of several related flow parameters on velocity, temperature, and concentration profiles have been displayed graphically. Also, the mass and heat transfer rates along with the coefficients of skin friction are calculated and discussed numerically. It is found that an increment in the thermal radiation parameter increases the fluid temperature, and the concentration gradient boosts up for the enhancement of the Soret number.

Keywords


Chemical Reaction, Non-Darcy Permeable Medium, Soret-Dufour Effects, Thermal Radiation.

References