Theoretical and numerical analysis are employed in this study to explore the characteristics of Maxwell squeezed nanofluid flow over a sensor surface, accounting for both the effects of viscous dissipation and an external magnetic field. The objective of this study is to investigate the impact of these two factors on the behavior of the nanofluid as it traverses the sensor surface, with a specific emphasis on the modifications in its physical properties, including thermal conductivity and viscosity. In this study, the theoretical analysis relies on the Navier-Stokes equations and Maxwell's equations, which are numerically solved using a shooting method. According to the findings, the applied magnetic field and viscous dissipation have a notable influence on the nanofluid's physical properties and flow characteristics. The magnetic field induces greater alignment and concentration of nanoparticles in the nanofluid, leading to alterations in the fluid's thermal conductivity and viscosity. The impacts of viscous dissipation are likewise observed to be significant, resulting in a considerable elevation in the fluid temperature as a result of the frictional forces between the fluid and the sensor surface. The values for drag coefficient, heat transfer, and mass transfer rate are organized in a table. Some significant findings were observed in this study, which indicate that the viscosity parameter, the squeezed flow index, and magnetic parameter contribute to a reduction in the temperature distribution across the boundary layer region. Conversely, the thermal conductivity parameter and Eckert number show the opposite trend, resulting in an increase in temperature distribution. Furthermore, the novelty of this investigation can be accentuated by analyzing the flow of squeezed Maxwell nanofluid due to a sensor surface based on the Buongiorno concept. This analysis takes into account external magnetic fields, variable thermal conductivity assumptions, and the phenomenon of viscous dissipation.
Citation: Haifaa Alrihieli, Musaad S. Aldhabani, Ghadeer M. Surrati. Enhancing the characteristics of MHD squeezed Maxwell nanofluids via viscous dissipation impact[J]. AIMS Mathematics, 2023, 8(8): 18948-18963. doi: 10.3934/math.2023965
Theoretical and numerical analysis are employed in this study to explore the characteristics of Maxwell squeezed nanofluid flow over a sensor surface, accounting for both the effects of viscous dissipation and an external magnetic field. The objective of this study is to investigate the impact of these two factors on the behavior of the nanofluid as it traverses the sensor surface, with a specific emphasis on the modifications in its physical properties, including thermal conductivity and viscosity. In this study, the theoretical analysis relies on the Navier-Stokes equations and Maxwell's equations, which are numerically solved using a shooting method. According to the findings, the applied magnetic field and viscous dissipation have a notable influence on the nanofluid's physical properties and flow characteristics. The magnetic field induces greater alignment and concentration of nanoparticles in the nanofluid, leading to alterations in the fluid's thermal conductivity and viscosity. The impacts of viscous dissipation are likewise observed to be significant, resulting in a considerable elevation in the fluid temperature as a result of the frictional forces between the fluid and the sensor surface. The values for drag coefficient, heat transfer, and mass transfer rate are organized in a table. Some significant findings were observed in this study, which indicate that the viscosity parameter, the squeezed flow index, and magnetic parameter contribute to a reduction in the temperature distribution across the boundary layer region. Conversely, the thermal conductivity parameter and Eckert number show the opposite trend, resulting in an increase in temperature distribution. Furthermore, the novelty of this investigation can be accentuated by analyzing the flow of squeezed Maxwell nanofluid due to a sensor surface based on the Buongiorno concept. This analysis takes into account external magnetic fields, variable thermal conductivity assumptions, and the phenomenon of viscous dissipation.
| [1] |
J. J. Stickel, R. L. Powell, Fluid mechanics and rheology of dense suspensions, Annu. Rev. Fluid Mech., 37 (2005), 129–149. https://doi.org/10.1146/annurev.fluid.36.050802.122132 doi: 10.1146/annurev.fluid.36.050802.122132
|
| [2] | R. G. Larson, The structure and rheology of complex fluids, New York: Oxford University Press, 1999. |
| [3] |
S. Y. Lee, W. F. Ames, Similarity solutions for non-Newtonian fluids, AICHE J., 12 (1966), 700–708. https://doi.org/10.1002/aic.690120415 doi: 10.1002/aic.690120415
|
| [4] |
M. Kumari, G. Nath, Steady mixed convection stagnation-point flow of upper convected Maxwell fluids with magnetic field, Int. J. NonLinear Mech., 44 (2009), 1048–1055. https://doi.org/10.1016/j.ijnonlinmec.2009.08.002 doi: 10.1016/j.ijnonlinmec.2009.08.002
|
| [5] |
T. Hayat, Z. Abbas, M. Sajid, MHD stagnation-point flow of an upper-convected Maxwell fluid over a stretching surface, Chaos Solitons Fract., 39 (2009), 840–848. https://doi.org/10.1016/j.chaos.2007.01.067 doi: 10.1016/j.chaos.2007.01.067
|
| [6] |
A. M. Megahed, Variable fluid properties and variable heat flux effects on the flow and heat transfer in a non-Newtonian Maxwell fluid over an unsteady stretching sheet with slip velocity, Chinese Phys. B, 22 (2013), 094701. https://doi.org/10.1088/1674-1056/22/9/094701 doi: 10.1088/1674-1056/22/9/094701
|
| [7] |
Z. Shafique, M. Mustafa, A. Mushtaq, Boundary layer flow of Maxwell fluid in rotating frame with binary chemical reaction and activation energy, Results Phys., 6 (2016), 627–633. https://doi.org/10.1016/j.rinp.2016.09.006 doi: 10.1016/j.rinp.2016.09.006
|
| [8] |
M. Shen, L. L. Chen, M. C. Zhang, F. W. Liu, A renovated Buongiorno's model for unsteady Sisko nanoflfluid with fractional Cattaneo heat flux, Int. J. Heat Mass Tran., 126 (2018), 277–286. https://doi.org/10.1016/j.ijheatmasstransfer.2018.05.131 doi: 10.1016/j.ijheatmasstransfer.2018.05.131
|
| [9] |
M. C. Zhang, M. Shen, F. W. Liu, H. M. Zhang, A new time and spatial fractional heat conduction model for Maxwell nanofluid in porous medium, Comput. Math. Appl., 78 (2019), 1621–1636. https://doi.org/10.1016/j.camwa.2019.01.006 doi: 10.1016/j.camwa.2019.01.006
|
| [10] |
A. Ayub, H. A. Wahab, S. Z. H. Shah, S. L. Shah, A. Darvesh, A. Haider, et al., Interpretation of infinite shear rate viscosity and a nonuniform heat sink/source on a 3D radiative cross nanofluid with buoyancy assisting/opposing flow, Heat Trans., 50 (2021), 4192–4232. https://doi.org/10.1002/htj.22071 doi: 10.1002/htj.22071
|
| [11] |
A. Ayub, Z. Sabir, G. C. Altamirano, R. Sadat, M. R. Ali, Characteristics of melting heat transport of blood with time dependent cross nanofuid model using Keller-Box and BVP4C method, Eng. Comput., 38 (2022), 3705–3719. https://doi.org/10.1007/s00366-021-01406-7 doi: 10.1007/s00366-021-01406-7
|
| [12] |
M. Shen, H. Chen, M. C. Zhang, F. W. Liu, V. Anh, A comprehensive review of nanoflfluids with fractional derivatives: Modeling and application, Nanotechnol. Rev., 11 (2022), 3235–3249. https://doi.org/10.1515/ntrev-2022-0496 doi: 10.1515/ntrev-2022-0496
|
| [13] |
H. Chen, P. F. He, M. Shen, Y. R. Ma, Thermal analysis and entropy generation of Darcy-Forchheimer ternary nanofluid flow: A comparative study, Case Stud. Therm. Eng., 43 (2023), 102795. https://doi.org/10.1016/j.csite.2023.102795 doi: 10.1016/j.csite.2023.102795
|
| [14] |
M. Awais, T. Hayat, S. Irum, A. Alsaedi, Heat generation/absorption effects in a boundary layer stretched flow of Maxwell nanofluid; Analytic and Numeric solutions, Plos One, 10 (2015), e0129814. https://doi.org/10.1371/journal.pone.0129814 doi: 10.1371/journal.pone.0129814
|
| [15] |
A. Mahmood, A. Aziz, W. Jamshed, S. Hussain, Mathematical model for thermal solar collectors by using magnetohydrodynamic maxwell nanofluid with slip conditions, thermal radiation and variable thermal conductivity, Results Phys., 7 (2017), 3425–3433. https://doi.org/10.1016/j.rinp.2017.08.045 doi: 10.1016/j.rinp.2017.08.045
|
| [16] |
M. Madhu, N. Kishan, A. J. Chamkha, Unsteady flow of a Maxwell nanofluid over a stretching surface in the presence of magnetohydrodynamic and thermal radiation effects, Propuls. Power Res., 6 (2017), 31–40. https://doi.org/10.1016/j.jppr.2017.01.002 doi: 10.1016/j.jppr.2017.01.002
|
| [17] |
M. Billal, M. Sagheer, S. Hussain, Three dimensional MHD upper-convected Maxwell nanofluid flow with nonlinear radiative heat flux, Alex. Eng. J., 57 (2018), 1917–1925. https://doi.org/10.1016/j.aej.2017.03.039 doi: 10.1016/j.aej.2017.03.039
|
| [18] |
T. Hayat, M. Hussain, S. Nadeem, S., Obaidat, Squeezed flow and heat transfer in a second grade fluid over a sensor surface, Therm. Sci., 18 (2014), 357–364. https://doi.org/10.2298/TSCI110710139H doi: 10.2298/TSCI110710139H
|
| [19] |
R. U. Haq, S. Nadeem, Z. H. Khan, N. F. M. Noor, MHD squeezed flow of water functionalized metallic nanoparticles over a sensor surface, Physica E, 73 (2015), 45–53. https://doi.org/10.1016/j.physe.2015.05.007 doi: 10.1016/j.physe.2015.05.007
|
| [20] |
T. Hayat, T. Muhammad, A. Qayyum, A. Alsaedi, M. Mustafa, On squeezing flow of nanofluid in the presence of magnetic field effects, J. Mol. Liq., 213 (2016), 179–185. https://doi.org/10.1016/j.molliq.2015.11.003 doi: 10.1016/j.molliq.2015.11.003
|
| [21] |
T. Salahuddin, M. Y. Malik, A. Hussain, S. Bilal, M. Awais, I. Khan, MHD squeezed flow of Carreau-Yasuda fluid over a sensor surface, Alex. Eng. J., 56 (2017), 27–34. https://doi.org/10.1016/j.aej.2016.08.029 doi: 10.1016/j.aej.2016.08.029
|
| [22] |
M. Ramzan, M. Bilal, J. D. Chung, U. Farooq, Mixed convective flow of Maxwell nanofluid past a porous vertical stretched surface-An optimal solution, Results Phys., 6 (2016), 1072–1079. https://doi.org/10.1016/j.rinp.2016.11.036 doi: 10.1016/j.rinp.2016.11.036
|
| [23] |
M. Khan, M. Y. Malik, T. Salahuddin, I. Khan, Heat transfer squeezed flow of Carreau fluid over a sensor surface with variable thermal conductivity: A numerical study, Results Phys., 6 (2016), 940–945. https://doi.org/10.1016/j.rinp.2016.10.024 doi: 10.1016/j.rinp.2016.10.024
|
| [24] |
A. M. Megahed, Improvement of heat transfer mechanism through a Maxwell fluid flow over a stretching sheet embedded in a porous medium and convectively heated, Math. Comput. Simulat., 187 (2021), 97–109. https://doi.org/10.1016/j.matcom.2021.02.018 doi: 10.1016/j.matcom.2021.02.018
|
| [25] |
A. Haider, A. Ayub, N. Madassar, R. K. Ali, Z. Sabir, S. Z. Shah, et al., Energy transference in time-dependent Cattaneo-Christov double diffusion of second-grade fluid with variable thermal conductivity, Heat Trans., 50 (2021), 8224–8242. https://doi.org/10.1002/htj.22274 doi: 10.1002/htj.22274
|
| [26] |
U. Shankar, N. B. Naduvinamani, H. Basha, Effect of magnetized variable thermal conductivity on flow and heat transfer characteristics of unsteady Williamson fluid, Nonlinear Eng., 9 (2020), 338–351. https://doi.org/10.1515/nleng-2020-0020 doi: 10.1515/nleng-2020-0020
|
| [27] |
N. Muhammad, S. Nadeem, T. Mustafa, Squeezed flow of a nanofluid with Cattaneo-Christov heat and mass fluxes, Results Phys., 7 (2017), 862–869. https://doi.org/10.1016/j.rinp.2016.12.028 doi: 10.1016/j.rinp.2016.12.028
|
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Haifaa Alrihieli, Musaad S. Aldhabani, Ghadeer M. Surrati. Enhancing the characteristics of MHD squeezed Maxwell nanofluids via viscous dissipation impact[J]. AIMS Mathematics, 2023, 8(8): 18948-18963. doi: 10.3934/math.2023965
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