Research Article

NUMERICAL INVESTIGATION OF MHD CASSON NANOFLUID FLOW TOWARDS A NON LINEAR STRETCHING SHEET IN PRESENCE OF DOUBLE-DIFFUSIVE EFFECTS ALONG WITH VISCOUS AND OHMIC DISSIPATION

Volume: 7 Number: 2 February 1, 2021
  • Vinita Makkar
  • Vikas Poply *
  • Rangoli Goyal
  • Naresh Sharma
EN

NUMERICAL INVESTIGATION OF MHD CASSON NANOFLUID FLOW TOWARDS A NON LINEAR STRETCHING SHEET IN PRESENCE OF DOUBLE-DIFFUSIVE EFFECTS ALONG WITH VISCOUS AND OHMIC DISSIPATION

Abstract

The intention behind carrying out this research work is to analyze the steady Magnetohydrodynamic (MHD) boundary layer flow with Casson nanofluid in presence of Viscous and Ohmic dissipation effects towards a non-linear stretching sheet. Two phase representation of nanofluid studied the consequence of Brownian motion along with thermophoresis. The major purpose of study is to investigates the significant role of prominent fluid parameters especially yield stress, slip velocity, thermophoresis, Brownian motion, Eckert number, Schmidt number, magnetic parameter and non-linear stretching parameter on profile of velocity, temperature distribution and concentration while keeping the other parameters under study constant. Runge-Kutta Fehlberg (RKF) approach was adopted to numerically solve the non-linear governing equations and the linked boundary conditions by use of shooting technique. In present study, we use MATLAB for finding the final outcomes and relating the concluding results for local Nusselt number -θ_δ^' (0) with extant outcomes in literature as a limiting case in the absence of thermophoresis and Brownian motion and an excellent agreement is noted. Over all the consequence of prominent fluid parameters are explained via graphs, whereas distinction of several valuable engineering quantities like skin friction coefficient, local Nusselt number and local Sherwood number are also tabulated. The finding of present study helps to control the rate of heat transportation as well as fluid velocity in any manufacturing processes and industrial applications to make desired quality of final product.

Keywords

Thanks

First author (Vinita) would like to thank Mr. Madan Lal Makkar and Mrs. Neelam Makkar for their love, support and encouragement. Additionally, all authors appreciate the constructive and valuable comments of the reviewers, which improved the manuscript.

References

  1. [1] Crane LJ. Flow past a stretching plate. Zeitschrift fr angewandte Mathematik und Physik ZAMP 1970; 21: 645–647.
  2. [2] Gupta PS, Gupta AS. Heat and mass transfer on a stretching sheet with suction or blowing. The Canadian Journal of Chemical Engineering 1977; 55: 744–746.
  3. [3] Yoon BB, Rao RS, Kikuchi N. Sheet stretching: A theoretical-experimental comparison. International Journal of Mechanical Sciences 1989; 31: 579–590.
  4. [4] Sarma MS, Rao BN. Heat transfer in a viscoelastic fluid over a stretching sheet. Journal of Mathematical Analysis and Applications 1998; 222: 268–275.
  5. [5] Vajravelu K. Viscous flow over a nonlinearly stretching sheet. Appl. Math. Comput. 2001; 124: 281–288.
  6. [6] Cortell R. Viscous flow and heat transfer over a nonlinearly stretching sheet. Applied Mathematics and Computation 2007; 184: 864–873.
  7. [7] Nadeem S, Hussain A, Vajravelu K. Effects of heat transfer on the stagnation flow of a third order fluid over a shrinking sheet. Zeitschrift fr Naturforschung A 2010; 65: 969–994.
  8. [8] Prasad K, Vajravelu K, Datti P. Mixed convection heat transfer over a non-linear stretching surface with variable fluid properties. International Journal of Non-Linear Mechanics 2010; 45: 320– 330.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

February 1, 2021

Submission Date

May 4, 2020

Acceptance Date

July 17, 2020

Published in Issue

Year 2021 Volume: 7 Number: 2

APA
Makkar, V., Poply, V., Goyal, R., & Sharma, N. (2021). NUMERICAL INVESTIGATION OF MHD CASSON NANOFLUID FLOW TOWARDS A NON LINEAR STRETCHING SHEET IN PRESENCE OF DOUBLE-DIFFUSIVE EFFECTS ALONG WITH VISCOUS AND OHMIC DISSIPATION. Journal of Thermal Engineering, 7(2), 1-17. https://doi.org/10.18186/thermal.859221
AMA
1.Makkar V, Poply V, Goyal R, Sharma N. NUMERICAL INVESTIGATION OF MHD CASSON NANOFLUID FLOW TOWARDS A NON LINEAR STRETCHING SHEET IN PRESENCE OF DOUBLE-DIFFUSIVE EFFECTS ALONG WITH VISCOUS AND OHMIC DISSIPATION. Journal of Thermal Engineering. 2021;7(2):1-17. doi:10.18186/thermal.859221
Chicago
Makkar, Vinita, Vikas Poply, Rangoli Goyal, and Naresh Sharma. 2021. “NUMERICAL INVESTIGATION OF MHD CASSON NANOFLUID FLOW TOWARDS A NON LINEAR STRETCHING SHEET IN PRESENCE OF DOUBLE-DIFFUSIVE EFFECTS ALONG WITH VISCOUS AND OHMIC DISSIPATION”. Journal of Thermal Engineering 7 (2): 1-17. https://doi.org/10.18186/thermal.859221.
EndNote
Makkar V, Poply V, Goyal R, Sharma N (February 1, 2021) NUMERICAL INVESTIGATION OF MHD CASSON NANOFLUID FLOW TOWARDS A NON LINEAR STRETCHING SHEET IN PRESENCE OF DOUBLE-DIFFUSIVE EFFECTS ALONG WITH VISCOUS AND OHMIC DISSIPATION. Journal of Thermal Engineering 7 2 1–17.
IEEE
[1]V. Makkar, V. Poply, R. Goyal, and N. Sharma, “NUMERICAL INVESTIGATION OF MHD CASSON NANOFLUID FLOW TOWARDS A NON LINEAR STRETCHING SHEET IN PRESENCE OF DOUBLE-DIFFUSIVE EFFECTS ALONG WITH VISCOUS AND OHMIC DISSIPATION”, Journal of Thermal Engineering, vol. 7, no. 2, pp. 1–17, Feb. 2021, doi: 10.18186/thermal.859221.
ISNAD
Makkar, Vinita - Poply, Vikas - Goyal, Rangoli - Sharma, Naresh. “NUMERICAL INVESTIGATION OF MHD CASSON NANOFLUID FLOW TOWARDS A NON LINEAR STRETCHING SHEET IN PRESENCE OF DOUBLE-DIFFUSIVE EFFECTS ALONG WITH VISCOUS AND OHMIC DISSIPATION”. Journal of Thermal Engineering 7/2 (February 1, 2021): 1-17. https://doi.org/10.18186/thermal.859221.
JAMA
1.Makkar V, Poply V, Goyal R, Sharma N. NUMERICAL INVESTIGATION OF MHD CASSON NANOFLUID FLOW TOWARDS A NON LINEAR STRETCHING SHEET IN PRESENCE OF DOUBLE-DIFFUSIVE EFFECTS ALONG WITH VISCOUS AND OHMIC DISSIPATION. Journal of Thermal Engineering. 2021;7:1–17.
MLA
Makkar, Vinita, et al. “NUMERICAL INVESTIGATION OF MHD CASSON NANOFLUID FLOW TOWARDS A NON LINEAR STRETCHING SHEET IN PRESENCE OF DOUBLE-DIFFUSIVE EFFECTS ALONG WITH VISCOUS AND OHMIC DISSIPATION”. Journal of Thermal Engineering, vol. 7, no. 2, Feb. 2021, pp. 1-17, doi:10.18186/thermal.859221.
Vancouver
1.Vinita Makkar, Vikas Poply, Rangoli Goyal, Naresh Sharma. NUMERICAL INVESTIGATION OF MHD CASSON NANOFLUID FLOW TOWARDS A NON LINEAR STRETCHING SHEET IN PRESENCE OF DOUBLE-DIFFUSIVE EFFECTS ALONG WITH VISCOUS AND OHMIC DISSIPATION. Journal of Thermal Engineering. 2021 Feb. 1;7(2):1-17. doi:10.18186/thermal.859221

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