Numerical Analysis for Energy Transfer Analysis of Micropolar Nanofluid by Keller Box Scheme
Khuram Rafique1*, Nida Ibrar2 Ayesha Munir1, Adeel Khalid3, Ayesha Ijaz3 and Asma Asghar3
1Department of Mathematics, University of Sialkot, Sialkot, Pakistan
2Department of Mathematics, University of Sargodha, Pakistan
3Department of Zoology, University of Sialkot, Pakistan
*Corresponding Author: Khuram Rafique, Department of Mathematics, University of Sialkot, Sialkot, Pakistan.
Received:
January 20, 2023; Published: February 15, 2023
Abstract
This Research conducted for the micro-rotational flow of nanoliquid over an extendable surface. In current era dispersion of nano particles in the regular liquids have become a significant importance in nanotechnology. Nanoparticles dispersion improve the thermal conductivity of the regular liquid which is very helpful for energy production and transmission. The transportation of energy has been taken as a key factor of investigation in this research.In this study thermal radiations and Dufour impacts have been utilized. Moreover, the Dufour effects are also considered. The well-known computational scheme of Keller Box (KBS) has been used in this work. More exactly, in this work, the Buongiorno model is considered for the numerical investigation. The flow equations are transformed in to the nonlinear differential equation by employing an appropriate similarity transformations. The physical quantities with several effects of material constraints are portrayed in the form of graphs and tables. It is found that inclination impact causes reduction in velocity profile.
Keywords: MHD; KBS; Thermal Radiations; Dufour Effects; Micropolar Nanofluid; Inclined Surface
References
- Choi SU and Eastman J A. “Enhancing thermal conductivity of fluids with nanoparticles (No. ANL/MSD/CP-84938; CONF-951135-29)”. Argonne National Lab., IL (United States) (1995).
- Pak B C and Cho Y I. “Hydrodynamic and heat transfer study of dispersed fluids with submicron metallic oxide particles”. Experimental Heat Transfer an International Journal2 (1998): 151-170.
- Buongiorno J. “Convective transport in nanofluids”. Journal of Heat Transfer3 (2006): 240-250.
- Komeilibirjandi A., et al. “Thermal conductivity prediction of nanofluids containing CuO nanoparticles by using correlation and artificial neural network”. Journal of Thermal Analysis and Calorimetry (2019): 1-11.
- Toghyani S., et al. “Energy and exergy analyses of a nanofluid based solar cooling and hydrogen production combined system”. Renewable Energy 141 (2019): 1013-1025.
- Rashidi M M., et al. “Entropy generation in a circular tube heat exchanger using nanofluids: effects of different modeling approaches”. Heat Transfer Engineering9 (2017): 853-866.
- Abdollahzadeh Jamalabadi M Y., et al. “Modeling of Subcooled Flow Boiling with Nanoparticles under the Influence of a Magnetic Field”. Symmetry10 (2019): 1275.
- Abdollahzadeh Jamalabadi M Y., et al. “Effects of nanoparticle enhanced lubricant films in thermal design of plain journal bearings at high Reynolds numbers”. Symmetry11 (2019): 1353.
- Rashidi M M., et al. “Entropy generation in a circular tube heat exchanger using nanofluids: effects of different modeling approaches”. Heat Transfer Engineering9 (2017): 853-866.
- Sandeep N and Kumar M S. “Heat and Mass Transfer in Nanofluid Flow over an Inclined Stretching Sheet with Volume Fraction of Dust and Nanoparticles”. Journal of Applied Fluid Mechanics5 (2016).
- Govindarajan A. “Radiative fluid flow of a nanofluid over an inclined plate with non-uniform surface temperature”. In Journal of Physics: Conference Series 1000.1 (2018): 012173.
- Khan I., et al. “Magnetohydrodynamics Carreau nanofluid flow over an inclined convective heated stretching cylinder with Joule heating”. Results in physics 7 (2017): 4001-4012.
- Saeed A., et al. “Three-Dimensional Casson Nanofluid Thin Film Flow over an Inclined Rotating Disk with the Impact of Heat Generation/Consumption and Thermal Radiation”. Coatings4 (2019): 248.
- Maleki H., et al. “Heat transfer and nanofluid flow over a porous plate with radiation and slip boundary conditions”. Journal of Central South University5 (2019): 1099-1115.
- Mabood F., et al. “Non-uniform heat source/sink and Soret effects on MHD non-Darcian convective flow past a stretching sheet in a micropolar fluid with radiation”. International Journal of Heat and Mass Transfer 93 (2016): 674-682.
- Maleki H., et al. “Heat transfer and nanofluid flow over a porous plate with radiation and slip boundary conditions”. Journal of Central South University5 (2019): 1099-1115.
- Mjankwi M A., et al. “Unsteady MHD Flow of Nanofluid with Variable Properties over a Stretching Sheet in the Presence of Thermal Radiation and Chemical Reaction”. International Journal of Mathematics and Mathematical Sciences (2019).
- Muhammad S., et al. “Radiative Heat Transfer and Magneto Hydrodynamics Bioconvection Model for Unsteady Squeezing Flow of Nanofluid with Sort and Dufour Effects Between Parallel Channels Containing Nanoparticles and Gyrotactic Microorganisms”. Journal of Nanofluids7 (2019): 1433-1445.
- Devi SA., et al. “Radiation effects on MHD boundary layer flow and heat transfer over a nonlinear stretching surface with variable wall temperature in the presence of non-uniform heat source/sink”. International Journal of Applied Mechanics and Engineering2 (2018): 289-305.
- Eringen A C. “ Simple microfluids”. International Journal of Engineering Science, 2.2 (1964): 205–217.
- Rafique K., et al. “Numerical Study on Micropolar Nanofluid Flow over an Inclined Surface by Means of Keller-Box”. Asian Journal of Probability and Statistics (2019): 1-21.
- Rafique K., et al. “Numerical Analysis with Keller-Box Scheme for Stagnation Point Effect on Flow of Micropolar Nanofluid over an Inclined Surface”. Symmetry11 (2019): 1379.
- Kasim A R M., et al. “Unsteady MHD mixed convection flow of a micropolar fluid along an inclined stretching plate”. Heat Transfer—Asian Research2 (2013): 89-99.
- Ghadikolaei S S., et al. “Nonlinear thermal radiation effect on magneto Casson nanofluid flow with Joule heating effect over an inclined porous stretching sheet”. Case Studies in Thermal Engineering 12 (2018): 176-187.
- Srinivasacharya D., et al. “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 Journal5 (2018): 984-995.
- Soid S K., et al. “MHD stagnation-point flow over a stretching/shrinking sheet in a micropolar fluid with a slip boundary”. Sains Malaysiana11 (2018): 2907-2916.
- Mishra S R., et al. “Free convective micropolar fluid flow and heat transfer over a shrinking sheet with heat source”. Case Studies in Thermal Engineering 11 (2018): 113-119.
- Gnaneswara Reddy M., et al. “Micropolar fluid flow over a nonlinear stretching convectively heated vertical surface in the presence of Cattaneo-Christov heat flux and viscous dissipation”. Frontiers in Heat and Mass Transfer (FHMT) 8 (2017).
- Abbas N., et al. “On stagnation point flow of a micro polar nanofluid past a circular cylinder with velocity and thermal slip”. Results in Physics 9 (2018): 1224-1232.
- Rafique K., et al. “Keller-Box Simulation for the Buongiorno Mathematical Model of Micropolar Nanofluid Flow over a Nonlinear Inclined Surface”. Processes 12 (2019): 926.
- Rafique K., et al. “Hydromagnetic Flow of Micropolar Nanofluid”. Symmetry 12 (2020): 251.
- Khan W A and Pop I. “Boundary-layer flow of a nanofluid past a stretching sheet”. International Journal of Heat and Mass Transfer11-12 (2010): 2477-2483.
Citation
Copyright