The onset of instability in a hydromagnetic channel flow of Casson fluid: the accurate solutions

Kudenatti, Ramesh B.; Noor-E-Misbah, None

doi:10.1016/j.amc.2022.127475

Cited by 5 publications

(3 citation statements)

References 33 publications

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“…This clearly shows that convergence becomes slower as Ha increases. 2 and the results are accurate with the results of Kudenatti et al 26 . By increasing the value of the Casson parameter, the critical Reynolds number Re , the critical wavenumber c α and the critical wave speed c c found to decrease gradually.…”

Section: Resultssupporting

confidence: 87%

The Onset of Instability in A Magnetohydrodynamic Channel Flow through Porous Media of Casson Fluid

D. L. Shivaraj Kumar,

M. S. Basavaraj,

N. Kavitha

2023

jmmf

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A detailed study is made on the stability of linear two-dimensional disturbances of Plane Poiseuille Flow (PPF) of Casson fluid through porous media in the presence of a vertical uniform magnetic field, B0 which is extremely useful in metals, mines, and fuels industries. Using the method of normal modes, the disturbance equations are derived. The resulting eigenvalue problem is then solved by the spectral collocation method using Chebyshev-based polynomials. The critical values of the triplets ( Rec, αc, cc ) are obtained for various values of the Casson parameter, η , Hartmann number, Ha , and porous parameter, σp. The stability of the system is discussed using the neutral stability curves for each value of the parameters present in the problem. It is found that the stability regions are enlarged for small values of η and large values of the porous parameter, σp and Hartmann number, Ha. It is also observed that the stability characteristics of plane Poiseuille flow in a porous medium are remarkably different from non-porous cases. The results obtained here contribute to the contemporary efforts to better understand the stability characteristics of PPF of Casson fluid flow through porous media in the presence of a uniform transverse magnetic field.

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Section: Resultssupporting

confidence: 87%

The Onset of Instability in A Magnetohydrodynamic Channel Flow through Porous Media of Casson Fluid

D. L. Shivaraj Kumar,

M. S. Basavaraj,

N. Kavitha

2023

jmmf

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“…, and 𝑀 is as mentioned in Equation (41). Substituting Equations ( 48) and (49) in Equation (44) the system of C-FSEHT gets the Chebyshev matrix form as…”

Section: Solution Of the Problem Using The Chebyshev Collocation Tech...mentioning

confidence: 99%

“…This work demonstrated an excellent rate of convergence. Furthermore, Kudenatti et al [37][38][39][40][41][42] extensively employed the Chebyshev collocation technique in various research articles. This approach involves converting the entire domain of definition into a finite domain and identifying specific discrete points, referred to as collocation points.…”

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confidence: 99%

Analytical and numerical solutions for the boundary layer flow and heat transfer over a moving wedge in Casson fluid

Joshi,

Kirsur,

Nargund

2024

Stud Appl Math

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This paper presents exact, analytical, and numerical solutions to the two‐dimensional Casson fluid boundary layer flow over a moving wedge with varying wall temperature. The boundary layer flow of the Casson fluid with varying wall temperature is governed by a system of partial differential equations called Prandtl boundary layer equations modified by Casson fluid. By applying similarity transformations the governing system of partial differential equations is reduced to a system of nonlinear ordinary differential equations called as the Falkner–Skan equation modified by Casson fluid flow with heat transfer (C‐FSEHT). In the beginning, an exact solution of the C‐FSEHT is obtained for the particular values of physical parameters (i.e., , , , see nomenclature) in terms of two standard functions, namely error function and exponential function. Thus, obtained exact solution is then modified to obtain the analytical solution of C‐FSEHT for general values of physical parameters, in terms of power series. The analysis of the asymptotic behavior of the problem, when the wedge velocity is very large (), is performed using the Dirichlet series. A comparative analysis is performed using the Chebyshev collocation technique (CCT) to validate the obtained results in all the scenarios. The effect of governing parameters, which are the Casson parameter , Hartree pressure gradient parameter , moving wedge parameter , Prandtl number , and wedge temperature parameter on the skin friction coefficient, temperature coefficient, velocity profiles, and temperature profiles is discussed in detail. Multiple solutions are found analytically for fixed values of governing parameters. The fact that an increase in the value of the Casson parameter () reduces the thickness of both velocity and temperature boundary layers, is also validated during the study.

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Homotopy analysis on the bio-inspired radiative magnesium and iron oxides/blood nanofluid flow over an exponential stretching sheet

Prakash¹,

Ramzan

Saleem

et al. 2023

Comp. Part. Mech.

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The onset of instability in a hydromagnetic channel flow of Casson fluid: the accurate solutions

Cited by 5 publications

References 33 publications

The Onset of Instability in A Magnetohydrodynamic Channel Flow through Porous Media of Casson Fluid

The Onset of Instability in A Magnetohydrodynamic Channel Flow through Porous Media of Casson Fluid

Analytical and numerical solutions for the boundary layer flow and heat transfer over a moving wedge in Casson fluid

Homotopy analysis on the bio-inspired radiative magnesium and iron oxides/blood nanofluid flow over an exponential stretching sheet

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