Effects of heat transfer on MHD suction–injection model of viscous fluid flow through differential transformation and Bernoulli wavelet techniques

Raghunatha, K. R.; Vinod, Y.

doi:10.1002/htj.22911

Cited by 7 publications

(2 citation statements)

References 62 publications

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“…Many mathematician's contributions towards wavelet‐based numerical methods are as follows: Laguerre wavelets method for Lane–Emden equation, 1 Hermite wavelet method, 2 cardinal B‐spline, 3 Laguerre wavelets collocation method, 4 new generalized Hermite wavelet method, 5 Bernoulli wavelet method (BWM), 6 and so forth. Many fluid flow problems are solved by using different wavelet methods 7–14 . The Bernoulli wavelet has been widely utilized in recent years to solve a variety of fluid flow problems 15,16 …”

Section: Introductionmentioning

confidence: 99%

“…Many fluid flow problems are solved by using different wavelet methods. [7][8][9][10][11][12][13][14] The Bernoulli wavelet has been widely utilized in recent years to solve a variety of fluid flow problems. 15,16 Double-diffusive convection in flow has tremendous application, whereas it is extensively used in many natural and scientific systems, in which the diffusion of heat and mass occur all together.…”

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confidence: 99%

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Application of Bernoulli wavelet method on triple‐diffusive convection in Jeffery–Hamel flow

Raghunatha

Vinod

Manjunatha³

2023

Heat Trans

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In this article, triple‐diffusive convection in the Jeffery–Hamel flow of viscous fluid is studied. The Jeffery–Hamel flow depends upon the radial component of velocity, while the peripheral velocity is zero. The problem has been articulated as nonlinear coupled partial differential equations (PDEs) together with the pertinent boundary conditions. The reduction of the nonlinear coupled PDEs into new nonlinear coupled ordinary differential equations is achieved via a collection of appropriate transformations, which is solved using the Bernoulli wavelet method. The obtained results were compared with the numerical results, confirming the good agreement between the present and previous numerical results. Dimensionless velocity, temperature, and concentration profiles are discussed for the relevant factors involved. Furthermore, skin friction, heat transfer, and solute diffusions are calculated.

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Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

Application of Bernoulli wavelet method on triple‐diffusive convection in Jeffery–Hamel flow

Raghunatha

Vinod

Manjunatha³

2023

Heat Trans

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Heat and mass transfer under MHD mixed convection in a four‐sided lid‐driven square cavity

Patel,

Kumar,

Bagai

2024

Heat Trans

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This paper investigates the heat and mass transfer under magnetohydrodynamic mixed convection flow of a binary gas mixture in a four‐sided lid‐driven square cavity. The enclosure's left wall is sinusoidally heated and acts as a source term, while the right wall functions as a sink. The cavity's horizontal walls are adiabatic and impermeable to mass transfer. The governing equations under Boussinesq approximation and stream function‐vorticity formulation are solved using the alternating‐direction‐implicit scheme, a finite‐difference method. The numerical scheme's consistency and stability are demonstrated using the matrix method. The MATLAB code is written, validated against some existing studies, and used to perform numerical simulations. The numerical solutions are graphically examined by visualizing the streamline, isotherm, and concentration contours for nondimensional parameters, such as Hartmann number , heat absorption or generation coefficient , Richardson number , and buoyancy ratio . The magnetic field modifies the temperature and concentration distribution in the cavity, depending on the convection mode. The magnetic field forces the fluid to stagnate in different regions of the cavity, depending on the mode of convection. It was found that the difference between the maximum and minimum temperature and concentration at the cavity's midpoint increases up to 13 and 10 times, respectively, in the natural convection compared with the forced convection. The average Nusselt number on the vertical walls of the cavity is maximum in natural convection in the absence of a magnetic field but reaches a minimum value at in forced and mixed convection. The average Sherwood number on the cavity's vertical walls decreases with the magnetic field in mixed and natural convection.

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Two Numerical Methods for Thermohaline Convection in MHD Squeezing Flow of Casson Fluid Saturated Porous Layer

Vinod,

Raghunatha

2024

Int. J. Appl. Comput. Math

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Effects of heat transfer on MHD suction–injection model of viscous fluid flow through differential transformation and Bernoulli wavelet techniques

Cited by 7 publications

References 62 publications

Application of Bernoulli wavelet method on triple‐diffusive convection in Jeffery–Hamel flow

Application of Bernoulli wavelet method on triple‐diffusive convection in Jeffery–Hamel flow

Heat and mass transfer under MHD mixed convection in a four‐sided lid‐driven square cavity

Two Numerical Methods for Thermohaline Convection in MHD Squeezing Flow of Casson Fluid Saturated Porous Layer

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