Significances of prescribed heat sources on magneto Casson nanofluid flow due to unsteady bi-directionally stretchable s
- PDF / 2,328,390 Bytes
- 15 Pages / 595.276 x 790.866 pts Page_size
- 65 Downloads / 158 Views
Significances of prescribed heat sources on magneto Casson nanofluid flow due to unsteady bi‑directionally stretchable surface in a porous medium Muhammad Faisal1 · Iftikhar Ahmad1 · Tariq Javed2 Received: 25 January 2020 / Accepted: 24 July 2020 © Springer Nature Switzerland AG 2020
Abstract In this communication, bidirectional flow of Casson nanomaterial driven by an unsteady moveable surface in the region of boundary layer is analyzed. Moreover, the significances of porous space, magnetic field, prescribed surface temperature (PST), and prescribed surface heat flux are also incorporated. Furthermore, the aspects of Brownian motion and thermophoresis are also comprised through Buongiorno nanofluid model. Governing equations are firstly transformed into system of ordinary differential equations by using a suitable combination of variables, and then computational assessment is made through Keller-Box method. Graphical illustrations for temperature distribution, concentration distribution, local Nusselt number and local Sherwood number against escalating amounts of pertinent parameters are presented. It is observed that escalating amounts of unsteady parameter and temperature controlled indices reduce the temperature distribution, as well as the concentration distribution. It is also observed that increasing amounts of Casson parameter enhances the rate of heat transfer, and reduces the rate of mass transfer for PST case. Finally, a comparison benchmark for limited case has been presented to validate the present methodology. Keywords Casson nanofluid · Eckert number · Keller-Box method · MHD · Porous medium · Prescribed heat sources · Unsteady bi-directional stretching List of symbols a, b, c Stretching rates (s−1) Bo Magnitude of magnetic force (kg s−2 A−1 ) C Concentration (kg m−3 ) cf Specific heat of liquid (m2 s−2 K−1 ) cp Specific heat of nanomaterial (m2 s−2 K−1 ) C∞ Ambient concentration (kg m−3 ) Cw Surface concentration (kg m−3 ) Cfx , Cfy Skin-friction coefficients (–) DB Brownian coefficient (m2 s−1 ) DT Thermophoresis coefficient (m2 s−1 ) Ecx , Ecy Eckert numbers (–) f , g Similarity functions for velocity (–) hj Step size for grids (m) j Suffix (–)
K Permeability of porous medium (m2) kc Dynamic viscosity (m−1 kg s−1 ) M Magnetic parameter (–) Nb Brownian motion parameter (–) Nt Thermophoresis parameter (–) Nux Local Nusslet number (–) Shx Local Sherwood number (–) np Number of grid points (–) Pr Prandtl number (–) Rex , Rey Reynolds numbers (–) r, s Indices (–) S Unsteady parameter (–) T Temperature (K) T∞ Ambient temperature (K) Tw Surface temperature (K)
* Muhammad Faisal, [email protected] | 1Department of Mathematics, Azad Jammu and Kashmir University, Muzaffarabad 13100, Pakistan. 2Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan. SN Applied Sciences
(2020) 2:1472
| https://doi.org/10.1007/s42452-020-03262-4
Vol.:(0123456789)
Research Article
SN Applied Sciences
(2020) 2:1472
t Time (s)
Data Loading...
