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Hybrid nanofluid flow through an exponentially stretching/shrinking sheet with mixed convection and Joule heating

2020-01-01 , Yashkun U. , Wan Mohd Khairy Adly Wan Zaimi , Ishak A. , Pop I. , Sidaoui R.

Purpose: This study aims to investigate the flow and heat transfer of a hybrid nanofluid through an exponentially stretching/shrinking sheet along with mixed convection and Joule heating. The nanoparticles alumina (Al2O3) and copper (Cu) are suspended into a base fluid (water) to form a new kind of hybrid nanofluid (Al2O3-Cu/water). Also, the effects of constant mixed convection parameter and Joule heating are considered. Design/methodology/approach: The governing partial differential equations are transformed into ordinary differential equations (ODEs) using appropriate similarity transformations. The transformed nonlinear ODEs are solves using the bvp4c solver available in MATLAB software. A comparison of the present results shows a good agreement with the published results. Findings: Dual solutions for hybrid nanofluid flow obtained for a specific range of the stretching/shrinking parameter values. The values of the skin friction coefficient increases but the local Nusselt number decreases for the first solution with the increasing of the magnetic parameter. Enhancing copper volume fraction and Eckert number reduces the surface temperature, which intimates the decrement of heat transfer rate for the first and second solutions for the stretching/shrinking sheet. In detail, the first solution results show that when the Eckert number increases as 0.1, 0.4 and 0.7 at λ = 1.5, the temperature variations reduced to 10.686840, 10.671419 and 10.655996. While in the second solution, keeping the same parameters temperature variation reduced to 9.750777, 9.557349 and 9.364489, respectively. On the other hand, the results indicate that the skin friction coefficient increases with copper volume fraction. This study shows that the thermal boundary layer thickness rises due to the rise in the solid volume fraction. It is also observed that the magnetic parameter, copper volume fraction and Eckert number widen the range of the stretching/shrinking parameter for which the solution exists. Practical implications: In practice, the investigation on the flow and heat transfer of a hybrid nanofluid past an exponentially stretching/shrinking sheet with mixed convection and Joule heating is crucial and useful. The problems related to hybrid nanofluid have numerous real-life and industrial applications, such as microelectronics, manufacturing, naval structures, nuclear system cooling, biomedical and drug reduction. Originality/value: In specific, this study focuses on increasing thermal conductivity using a hybrid nanofluid mathematical model. The novelty of this study is the use of natural mixed convection and Joule heating in a hybrid nanofluid. This paper can obtain dual solutions. The authors declare that this study is new, and there is no previous published work similar to the present study.

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Two-dimensional magnetized mixed convection hybrid nanofluid over a vertical exponentially shrinking sheet by thermal radiation, joule heating, velocity and thermal slip conditions

2022-01-01 , Asghar A. , Ying T.Y. , Wan Mohd Khairy Adly Wan Zaimi

Hybrid nanofluid is an improved kind of nanofluid that typically utilized to enhance the thermal efficiency in fluid flow regimes. It has a wide range of real-world applications. This opened up many new prospects to further investigate the two-dimensional hybrid nanofluid under different body geometries and physical parameters. A numerical study of a two-dimensional magnetized mixed convection hybrid nanofluid flow over a vertical exponentially shrinking sheet is considered in this paper. The main objective of this current study is to examine the influences of volume fraction of copper, mixed convection, and radiation on the reduced skin friction and reduced heat transfer against the effect of suction. Besides, the influences of radiation, volume fraction of alumina, velocity slip, thermal slip, magnetic parameter, and Eckert number on the velocity and temperature profiles are also considered in this paper. The governing system of partial differential equations (PDEs) is transformed into a system of nonlinear ordinary differential equations (ODEs) through exponential similarity variables. Then, the bvp4c solver for MATLAB is used to solve the transformed nonlinear ODEs. Numerous significant results are being observed. As the quantity of mixed convection was raised, the reduced skin friction improved in both solutions, and reduced heat transfer increased in the second solution but with no variation found in the first solution. Besides, the temperature profile grew when the volume fraction of alumina, radiation, magnetic parameter, and Eckert number were raised in both solutions. In terms of heat transfer rate, when the amount of the velocity slip parameter was increased, temperature reduced in the first solution but increased in the second solution. Whilst temperature dropped in both solutions as the thermal slip parameter was enhanced. In conclusion, the addition of hybrid nanoparticles boosted the heat transmission rate. In the assisting flow condition, dual solutions exist when the suction parameter value is greater or equal to its critical point. However, no fluid flow is conceivable when the indicated value is less than this critical point.

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Effect of water-based Alumina-copper MHD hybrid nanofluid on a power-law form stretching/shrinking sheet with joule heating and slip condition: dual solutions study

2024-04 , Adnan Asghar , Mallika Vasugi Govindarajoo , Hussan Ara , Wan Mohd Khairy Adly Wan Zaimi , Teh Yuan Ying , Liaquat Ali Lund

The application of hybrid nanofluid is now being employed to augment the efficiency of heat transfer rates. A numerical study was conducted to investigate the flow characteristics of water-based-alumina copper hybrid nanofluids towards a power-law form stretching/shrinking sheet. This study also considered the influence of magnetic, Joule heating, and thermal slip parameters. This study is significant because it advances our understanding of hybrid nanofluids in the presence of magnetic fields, power-law form stretching/shrinking sheet, and heat transfer mechanisms, providing valuable insights for optimizing and innovating thermal management systems in various industrial applications such as polymers, biological fluids, and manufacturing processes like extrusion, plastic and metal forming, and coating processes. The main objective of this study is to examine the impact of specific attributes, including suction and thermal slip parameters on temperature and velocity profiles. In addition, this exploration examined the reduced skin friction and reduced heat transfer in relation to the solid volume fraction copper and magnetic effects on shrinkage sheet and thermal slip parameter on suction effect. To facilitate the conversion of a nonlinear partial differential equation into a collection of ordinary differential equations, it is necessary to incorporate suitable similarity variables into the transformation procedure. The MATLAB bvp4c solver application is utilized in the conclusion process to solve ordinary differential equations. No solution was found in the sort of when , and . As the intensity of the Eckert number increases, the temperature profile and boundary layer thickness also increase. The reduced heat transfer rate upsurged in both solutions for solid volume fraction copper for shrinking sheet, while the opposite actions can be noticed in both solutions for thermal slip parameter for suction effect. Finally, the study conducted an analysis to identify two distinct solutions for shrinking sheet and suction zone, while considering different parameter values for the copper volume fractions, magnetic and thermal slip condition effect.