Abstract:The effects of three different nanoparticles and magnetic field on the nonlinear Jeffery-Hamel flow of water based nanofluid are analyzed in the present study. The basic dimensionless governing equations are solved using series solution which are then analysed to inspect the instability of the problem by a semi-numerical analytical technique called Hermite-Padé approximation. The velocity profiles are presented in convergentdivergent channels for various values of nanoparticles solid volume fraction, Hartmann … Show more
“…As previously stated, the velocity field in convection form is in the form . The reduced forms of continuity, Navier-Stokes and energy equations 38 , 42 , 48 are with boundary conditions Figure 1 Geometry of the problem. Figure 2 Geometry of TFN .…”
This work explores the magneto-hydrodynamics (MHD) Jeffery–Hamel nanofluid flow between two rigid non-parallel plane walls with heat transfer by employing hybrid nanoparticles, especially Cu and Cu-Al$$_{2}$$
2
O$$_{3}$$
3
. Here the MHD nanofluid flow problem is extended with fuzzy volume fraction and heat transfer with diverse nanoparticles to cover the influence of thermal profiles with hybrid nanoparticles on the fuzzy velocity profiles. The nanoparticle volume fraction is described with a triangular fuzzy number ranging from 0 to $$5\%$$
5
%
. A novel double parametric form-based homotopy analysis approach is considered to study the fuzzy velocity and temperature profiles with hybrid nanoparticles in both convergent and divergent channel positions. Finally, the efficiency of the proposed method has been demonstrated by comparing it with the available results in a crisp environment for validation.
“…As previously stated, the velocity field in convection form is in the form . The reduced forms of continuity, Navier-Stokes and energy equations 38 , 42 , 48 are with boundary conditions Figure 1 Geometry of the problem. Figure 2 Geometry of TFN .…”
This work explores the magneto-hydrodynamics (MHD) Jeffery–Hamel nanofluid flow between two rigid non-parallel plane walls with heat transfer by employing hybrid nanoparticles, especially Cu and Cu-Al$$_{2}$$
2
O$$_{3}$$
3
. Here the MHD nanofluid flow problem is extended with fuzzy volume fraction and heat transfer with diverse nanoparticles to cover the influence of thermal profiles with hybrid nanoparticles on the fuzzy velocity profiles. The nanoparticle volume fraction is described with a triangular fuzzy number ranging from 0 to $$5\%$$
5
%
. A novel double parametric form-based homotopy analysis approach is considered to study the fuzzy velocity and temperature profiles with hybrid nanoparticles in both convergent and divergent channel positions. Finally, the efficiency of the proposed method has been demonstrated by comparing it with the available results in a crisp environment for validation.
“…Developing numerical techniques for a nonlinear MHD Jeffery-Hamel blood flow problem to analyze the behavior of blood flow and its contribution to high blood pressure through artificial neural networks trained with the Active Set and Interior Point Algorithm was used by Ahmad et al (2014). However, analytical and numerical solutions for (MHD) Jeffery-Hamel nano-fluid flow have been frequently in articles (Alam et al, 2016;Ananthaswamy and Yogeswari, 2016). Khan et al (2016a) have studied deals with the numerical investigation of Jeffery-Hamel flow and heat transfer in Eyring-Powell fluid in the presence of an outer magnetic field by using the Haar wavelet method.…”
Abstract. The focus of the present work is on the investigation of the
separation point and its relative location in a circular diffuser carrying
incompressible laminar flow in the presence of a non-uniform external
magnetic field. Two different approaches are deployed in the present
analysis. In the first approach, a similarity transform is applied to reduce
the momentum equation to the nonlinear ordinary differential equation (ODE).
The ODE is solved by a dual integral–numerical method and the separation
position is directly determined. In this combined numerical–integral
methodology, the integration is applied followed by a numerical method. In
the second approach, the equation is solved by the least square method
(LSM), and the separation position is indirectly specified. In this study it is
shown that the magnetic field intensity can be manipulated to postpone the
separation such that it could be eliminated totally. Comparing the
results yields a good agreement. It has been concluded that by increasing the
magnetic field intensity, as the Lorentz force increases, increased shear
stress on the wall and delay in the occurrence of the separation position
are observed.
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