Magnetohydrodynamic Flow and Heat Transfer Induced by a Shrinking Sheet

Nasir, Nor Ain Azeany Mohd; Ishak, Anuar Mohd; Pop, I.

doi:10.3390/math8071175

Cited by 10 publications

(2 citation statements)

References 40 publications

(59 reference statements)

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“…Lorentz force is also applied to accelerate the seawater in the MHD ducts. Sonar detection and underwater navigation can also be identified by a magnetic field [15][16][17][18][19][20][21][22]. MHD flow over moving the needle under different physical situations is discussed by Sulochana [23] and Ramzan et al [24].…”

Section: Introductionmentioning

confidence: 99%

Utilization of two‐equation model for analysis of flow over a moving needle in the presence of magnetic field

et al. 2023

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Many applications of the ocean and aerodynamic engineering, like the design of submarines, missiles, aircraft, rockets, and jet engines, involve flow over surfaces. Moreover, several experimental propulsion methods for seagoing ships, submarines and aerospace crafts are based on magnetohydrodynamics (MHD). This research explores the MHD boundary layer flow over a moving needle (shaped like a paraboloid of revolution). Governing equations are modelled in cylindrical coordinates under axial symmetry constraint, which is then simplified by employing order of magnitude analysis. In the absence of a magnetic field, these equations are self-similar, and this analysis is already available in the literature. We have applied the local non-similarity method to derive the boundary layer equations up to the second level of truncation to compute the solutions of non-similar boundary layer equations. The built-in MATLAB routine bvp5c is used to solve these equations numerically. This analysis will assist in predicting flow quantities that are important in designing the objects mentioned above.

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Section: Introductionmentioning

confidence: 99%

Utilization of two‐equation model for analysis of flow over a moving needle in the presence of magnetic field

et al. 2023

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“…Influence of thermophoresis, radiation, and heat generation on temperature, concentration, and velocity in the appearance of MHD and free stream velocity through a cylinder and they initiated that temperature raises with the growth in thermophoresis parameter, curvature parameter, magnetic parameter, and radiation parameter as inspected by Vinita and Poply. 17 Mohd Nasir et al 18 considered the MHD flow with an induced force field past a stretching sheet. From this survey, it has been recorded that when increase in the values of the magnetic parameter, the skin friction coefficient, and local Nusselt number decline.…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation of MHD convective free stream nanofluid flow influenced by radiation and chemical reaction over stretching cylinder

et al. 2022

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Chemically reacting magnetohydrodynamic radiative flow of convective free stream nanofluid through a stretching cylinder using Buongiorno's model is discussed. The behavior of Brownian motion and thermophoresis is also appropriate. By adopting the similarity transformation, the partial differential equation is diminished into a first‐order ordinary differential equation (ODE). Since transformed equations are highly nonlinear these ODEs are solved by using mathematical simulation. The shooting procedure has been adopted to resolve converted equations along the attendant Runge–Kutta–Fehlberg technique. The reason behind the present work is to research the effects of different parameters of fluid, namely, magnetic parameter, free stream velocity, Brownian motion, thermophoresis, chemical reaction, heat radiation, Lewis number on nanoparticle concentration, temperature, and velocity distribution. The impact of significantly participating parameters on velocity, concentration, and temperature distribution is distinguished with appropriate physical significance. The convergence of solutions for temperature, velocity, and concentration profiles is studied carefully. The measured challenges of nanofluids are scale‐up capacity, increase in nanofluid viscosity, nanoparticle dispersion, and nanofluid cost. It is observed that nanoparticle temperature rises for more value of Brownian motion parameter while it declines for higher Lewis number. The current study in the cylindrical region is related to novel free stream flow in the presence of chemical reactions along with convective conditions which find applications in electronic systems like microprocessors and in a wide variety of industries and in the field of biotechnology. The current research helps control the transport phenomena, helping production companies to find the quality of the desired product.

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Entropy analysis on thermophoretic magnetohydrodynamic Couette flow over a deformable porous channel with temperature‐dependent viscosity and thermal conductivity

Das,

Patgiri

2024

Heat Trans

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In this study, we have investigated magnetohydrodynamic Couette flow across a deformable porous regime with entropy generation having equal suction and injection velocities. The aim of this work is to analyze the novel impact of thermophoresis deposition, activation energy, and magnetic effect by considering viscosity and thermal conductivity as dependent on temperature in a deformable porous regime. The dimensional equations are turned into nonlinear ordinary differential equations (ODEs) through proper similarity variables. To solve these ODEs, we utilized the MATLAB bvp4c approach. Graphs are used to study the behavior of many physical parameters such as skin friction, Bejan number, velocity, displacement, entropy generation, concentration, and temperature. It is found that the viscosity parameter reduces the solid displacement, whereas it enhances the fluid concentration. Due to the impact of suction/injection and drag parameters, fluid velocity becomes reduced. The thermal conductivity parameter raises entropy generation and temperature, but it decays the Bejan number. The volume fraction parameter plays an interesting behavior in skin friction. Moreover, the current work is compared with prior research work while neglecting the newly introduced effects, and the results remain consistent.

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Magnetohydrodynamic Flow and Heat Transfer Induced by a Shrinking Sheet

Cited by 10 publications

References 40 publications

Utilization of two‐equation model for analysis of flow over a moving needle in the presence of magnetic field

Utilization of two‐equation model for analysis of flow over a moving needle in the presence of magnetic field

Numerical investigation of MHD convective free stream nanofluid flow influenced by radiation and chemical reaction over stretching cylinder

Entropy analysis on thermophoretic magnetohydrodynamic Couette flow over a deformable porous channel with temperature‐dependent viscosity and thermal conductivity

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