Influence of buoyancy forces in MHD non-Newtonian convective nanofluid utilizing Buongiorno’s Model induced by 3D exponential sheet

Abstract

The designation of this research is to scrutinize the influence of convective nanofluids over a three-dimensional exponential surface with chemical reactive species in a free stream fluid flow by following Buongiorno’s model. The continuity, momentum, energy, concentration and motile microorganism density partial differential equations that make up the physical governing equation problems are simultaneously transformed into ordinary differential equations system. By using MATLAB programming, the RKF approach has been followed in order to implement the shooting technique to solve this system that explores how changing fluid parameters affect the profile of physical quantities of interest. A parametric analysis has been done in the current study. The effects of fluid parameters such as chemical reaction, Brownian motion, free stream velocity, Lewis number, thermophoresis, and Prandtl number on concentration, temperature, and velocity profiles are graphically represented. Moreover, Contour plots are also drawn against computational fluid parameters to get desired results. Furthermore, calculated results are correlated with already existing outcomes along with residual error. It is inferred that; thermal and concentration fields increase for higher thermal and concentration Biot numbers serially. Additionally, it is found that skin friction coefficient declines with inclination in thermophoresis Nt (1.0 ≤ Nt ≤ 3.0) and Prandtl number Pr (1.0 ≤ Pr ≤ 4.0). The present investigation aims to support production businesses in achieving the desired level of quality of their products by effectively managing the transport phenomena.

Keywords

• Buongiorno
• Buoyancy forces
• Casson Fluid
• Chemical Reaction
• Nanofluid
• Shooting Method

References

1. [1] Crane LJ. Flow past a stretching plate. J Appl Math Phys 1970;21:645–647. [CrossRef]
2. [2] Sarma MS, Rao BN. Heat transfer in a viscoelastic fluid over a stretching sheet. J Appl Math Phys 1998;222:268–275. [CrossRef]
3. [3] Manjunatha PT, Gireesha BJ, Prasannakumara BC. Effect of radiation on flow and heat transfer of MHD dusty fluid over a stretching cylinder embedded in a porous medium in presence of heat source. Int J Appl Comput Math 2017;3:293–310. [CrossRef]
4. [4] Fourier JBJ. Theorie Analytique de la Chaleur, Paris. Paris: Academie des Sciences; 1822.
5. [5] Cattaneo C. Sulla conduzione del calore. Atti Sem Mat Fis Univ Modena 1948;3:83–101.
6. [6] Bishnoi D. Pressure exertion and heat dissipation analysis on uncoated and ceramic (Al2O3, TiO2 and ZrO2) coated braking pads. Mater Today Proc 2023;74:774–787. [CrossRef]
7. [7] Kumar SK, Muniamuthu S, Mohan A, Amirthalingam P, Anbu Muthuraja M. Effect of charging and discharging process of PCM with paraffin and Al_2O_3 additive subjected to three point temperature locations. J Ecol Engineer 2022;23:34–42. [CrossRef]
8. [8] Kumar KS, Raju DBN, Arulmani J, Amirthalingam P. Design and structural analysis of liquified cryogenic tank under seismic and operating loading. Int J Mech Engineer Technol 2016;7:345–366.

9. [9] Muniamuthu S, Raju NL, Sathishkumar S, Kumar KS. Investigation on mechanical properties of Al 7075-Al2O3 metal matrix composite. Int J Mech Engineer Technol 2016;7:474–482.
10. [10] Choi SU, Eastman JA. Enhancing thermal conductivity of fluids with nanoparticles. In: Proceedings of the International Mechanical Engineering Congress & Exposition, ASME; 12–17 Nov 1995; San Francisco, CA.
11. [11] Xuan Y, Li Q. Heat transfer enhancement of nanofluids. Int J Heat Fluid Flow 2000;21:58–64. [CrossRef]
12. [12] Buongiorno J. Convective transport in nanofluids. J Heat Transf 2006;128:240–250. [CrossRef]
13. [13] Shahid A, Bhatti MM, Ellahi R, Mekheimer KS. Numerical experiment to examine activation energy and bi-convection Carreau nanofluid flow on an upper paraboloid porous surface: Application in solar energy. Sustain Energy Technol Assess 2022;52:102029. [CrossRef]
14. [14] Din ISU, Siddique I, Ali R, Jarad F, Abdal S, Hussain S. On heat and flow characteristics of Carreau nanofluid and tangent hyperbolic nanofluid across a wedge with slip effects and bioconvection. Case Stud Ther Engineer 2022;39:102390. [CrossRef]
15. [15] Ahmad M, Muhammad T, Ahmad I, Aly S. Time-dependent 3D flow of viscoelastic nanofluid over an unsteady stretching surface. Phys A Stat Mech Appl 2020;551:124004. [CrossRef]
16. [16] Acharya N. On the flow patterns and thermal behaviour of hybrid nanofluid flow inside a microchannel in presence of radiative solar energy. J Therm Anal Calorim 2020;141:1425–1442. [CrossRef]
17. [17] Rana P, Bhardwaj A, Makkar V, Pop I, Gupta G. Critical points and stability analysis in MHD radiative non‐Newtonian nanoliquid transport phenomena with artificial neural network prediction. Math Method Appl Sci 2023;46:11726–11746. [CrossRef]
18. [18] Lu D, Ramzan M, Mohammad M, Howari F, Chung JD. A thin film flow of nanofluid comprising carbon nanotubes influenced by Cattaneo-Christov heat flux and entropy generation. Coatings 2019;9:296. [CrossRef]
19. [19] Alamri SZ, Khan AA, Azeez M, Ellahi, R. Effects of mass transfer on MHD second grade fluid towards stretching cylinder: A novel perspective of Cattaneo–Christov heat flux model. Phys Lett A 2019;383:276–281. [CrossRef]
20. [20] Rana P, Shukla N, Bég OA, Bhardwaj A. Lie group analysis of nanofluid slip flow with Stefan blowing effect via modified Buongiorno’s Model: Entropy generation analysis. Differ Equ Dyn Syst 2021;29:193–210. [CrossRef]
21. [21] Rana P, Sharma PK, Kumar S, Makkar V, Mahanthesh B. Multiple solutions and stability analysis in MHD non‐Newtonian nanofluid slip flow with convective and passive boundary condition: Heat transfer optimization using RSM‐CCD. J Appl Math Mech 2023;104:e202200145. [CrossRef]
22. [22] Anwar MI, Shafie S, Hayat T, Shehzad SA, Salleh MZ. Numerical study for MHD stagnation-point flow of a micropolar nanofluid towards a stretching sheet. J Braz Soc Mech Sci Engineer 2017;39:89–100. [CrossRef]
23. [23] Shawky HM, Eldabe NTM, Kamel KA, Abd-Aziz EA. MHD flow with heat and mass transfer of Williamson nanofluid over stretching sheet through porous medium. Microsyst Technol 2019;25:1155–1169. [CrossRef]
24. [24] Vajravelu K, Cannon J. Fluid flow over a nonlinearly stretching sheet. Appl Math Comput 2006;181:609–618. [CrossRef]
25. [25] Matin MH, Nobari MRH, Jahangiri P. Entropy analysis in mixed convection MHD flow of nanofluid over a non-linear stretching sheet. J Ther Sci Technol 2012;7:104–119. [CrossRef]
26. [26] Jain S, Choudhary R. Soret and dufour effects on thermophoretic MHD flow and heat transfer over a non-linear stretching sheet with chemical reaction. Int J Appl Comput Math 2018;4:50. [CrossRef]
27. [27] Siddheshwar PG, Mahabaleshwar US. Flow and heat transfer to a newtonian fluid over non-linear extrusion stretching sheet. Int J Appl Comput Math 2018;4:35. [CrossRef]
28. [28] Rana P, Makkar V, Gupta G. Finite element study of bio-convective Stefan blowing Ag-MgO/water hybrid nanofluid induced by stretching cylinder utilizing non-Fourier and non-Fick’s laws. Nanomaterials 2021;11:1735. [CrossRef]
29. [29] Kandasamy R, Muhaimin I, Ram NS, Prabhu KKS. Thermal stratification effects on hiemenz flow of nanofluid over a porous wedge sheet in the presence of suction/injection due to solar energy: Lie group transformation. Transp Porous Media 2012;94:399–416. [CrossRef]
30. [30] Rana P. MHD convective heat transfer in the annulus between concentric cylinders utilizing nanoparticles and non-uniform heating. AIP Conf Proc 2020;2214:020013. [CrossRef]
31. [31] Magagula VV, Shaw S, Kairi RR. Double dispersed bioconvective Casson nanofluid fluid flow over a nonlinear convective stretching sheet in suspension of gyrotactic microorganism. Heat Transf 2020;49:2449–2471. [CrossRef]
32. [32] Hosseinzadeh K, Roghani S, Mogharrebi A, Asadi A, Waqas M, Ganji D. Investigation of cross-fluid flow containing motile gyrotactic microorganisms and nanoparticles over a three-dimensional cylinder. Alex Engineer J 2020;59:3297–3307. [CrossRef]
33. [33] Mebarek-Oudina F, Dharmaiah G, Balamurugan KS, Ismail AI, Saxena H. The role of quadratic-linearly radiating heat source with Carreau nanofluid and exponential space-dependent past a cone and a wedge: A medical engineering application and renewable energy. J Comput Biophys Chem 2023;22:997–1011. [CrossRef]
34. [34] Rana P. Heat transfer optimization and rheological features of Buongiorno nanofluid in a convectively heated inclined annulus with nonlinear thermal radiation. Propuls Power Res 2023;12:539–555. [CrossRef]
35. [35] Bahrami HR, Ghaedi M, Attarzadeh A. Employing nonuniform magnetic fields to improve energy transfer of flow after a sudden expansion inside a miniature channel: A hydrothermal study. Engineer Rep 2024;e12847. [CrossRef]
36. [36] Mebarek-Oudina F, Chabani I, Vaidya H, Ismail AAI. Hybrid-nanofluid magneto-convective flow and porous media contribution to entropy generation. Int J Numer Method Heat Fluid Flow 2024;34:809–836. [CrossRef]
37. [37] Chamkha J, Rashad A Unsteady heat and mass transfer by mhd mixed convection flow from a rotating vertical cone with chemical reaction and Soret and Dufour effects. Can J Chem Engineer 2014;92:758–767. [CrossRef]
38. [38] RamReddy CH, Murthy PVSN, Chamkha AJ, Rashad AM. Soret effect on mixed convection flow in a nanofluid under convective boundary condition. Int J Heat Mass Transf 2013;64:384–392. [CrossRef]
39. [39] Hayat T, Muhammad T, Shehzad SA, Alsaedi A. Soret and dufour effects in three dimensional flow over an exponentially stretching surface with porous medium, chemical reaction and heat source/sink. Int J Numer Method Heat Fluid Flow 2015;25:762–781. [CrossRef]
40. [40] Abolbashari MH, Freidoonimehr N, Nazari F, Rashidi MM. Analytical modeling of entropy generation for Casson nano-fluid flow induced by a stretching surface. Adv Powder Technol 2015;26:542–552. [CrossRef]
41. [41] Khan W, Pop I. Boundary-layer flow of a nanofluid past a stretching sheet. Int J Heat Mass Transf 2010;53:2477–2483. [CrossRef]