Now showing 1 - 4 of 4
  • Publication
    Nanofluid stagnation-point flow using Tiwari and Das model over a stretching/shrinking sheet with suction and slip effects
    ( 2020-01-01)
    Yashkun, Ubaidullah
    ;
    ; ;
    Ferdows M.
    In this paper, we considered the stagnation point flow and heat transfer of nanofluid over the stretching/shrinking surface by utilizing of Tiwari and Das nanofluid model. Additionally, the impact of suction and the first order slip likewise have been taken into the account. The system of governing partial differential equations (PDEs) is changed into the system of non-linear ordinary differential equations (ODEs) by means of similarity transformation. The resultant ODEs are solved by using BVP solver (bvp4c) in MATLAB software. The impact of some physical parameters, for example the suction parameter and the slip parameter on the skin friction coefficients and the local Nusselt number as well as the temperature and velocity profiles have been investigated, tabulated and graphically presented. These profiles and variations demonstrate that there exist dual solutions for a specific range of the stretching/shrinking parameter. Both suction and slip effects has enhance the local Nusselt number which represent heat transfer rate at the surface. It is also found that inclusion of both suction and slip effects expands the range of the dual solutions exist. The existence of the dual solutions only occurs in in the shrinking region. The flow separation in the boundary layer delay due to suction and slip effects imposed in the boundary condition.
  • Publication
    Hybrid nanofluid flow through an exponentially stretching/shrinking sheet with mixed convection and Joule heating
    ( 2020-01-01)
    Yashkun U.
    ;
    ;
    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.
      4  3
  • Publication
    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
    (Semarak Ilmu Publishing, 2024-04)
    Adnan Asghar
    ;
    Mallika Vasugi Govindarajoo
    ;
    Hussan Ara
    ;
    ;
    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.
      3
  • Publication
    Dual solutions analysis of melting phenomenon with mixed convection in a nanofluid flow and heat transfer past a permeable stretching/ shrinking sheet
    ( 2020-01-01)
    Jumana S.A.
    ;
    Murtaza M.G.
    ;
    Ferdows M.
    ;
    Makinde O.D.
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    The 2-D MHD nanofluid with mixed convection above a stretching/shrinking plate has been investigated. Melting heat transfer near surface is contemplated. Consider the saline water as base fluid with containing single SWCNTs as well as MWCNTs. Suitable similarity variables are employed to transform the governing PDEs into ODEs. These transformed equations which are coupled, and of high nonlinearity, have been solved through applying the bvp4c solver. The consequences of the relevant parameters like, the MHD parameter, mixed convection parameter, melting parameter, volume fraction on the flow field along with the skin friction and heat transfer rate are displayedingraphical form. Results, 0 show0that 0 the thin layer thickness diminishes as magnetic parameter enhances andat the sametime temperature increases with magnetic parameter. It is also demonstrated that the melting parameter leads to a reduction in the thin layer thickness as well as dimensionless temperature. Obtain dual solutions for flow fields which delineates to identify the stable solution.
      4  9