Effects of Radiation and Eckert Number on MHD Flow with Heat Transfer Rate Near a Stagnation Point Over a Non-Linear Vertical Stretching Sheet

Fenuga, O.J.; Hassan, Anthony R.; Olanrewaju, P. O.

doi:10.2478/ijame-2020-0003

Cited by 4 publications

(4 citation statements)

References 15 publications

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“…With the help of the similarity technique, it is again transformed into an initial value problem described by Ali et al [ 46 , 47 ] and Uddin and Nasrin [ 48 ]. Using numerical methods, we successfully solve coupled non-linear ODEs [ [24] , [25] , [26] , [27] ] with boundary conditions [ 28 , 29 ] applying the shooting technique.…”

Section: Methods Of Solutionmentioning

confidence: 99%

“…They observed that microparticles in the fluid caused it to absorb more heat, increasing the fluid temperature through viscous dissipation and heat generation. Fenuga et al [ 28 ] considered the impact of the Eckert number and radiation parameter over an MHD flow with a heat transmission rate close to a stagnation point. Eckert number and radiation caused a lessening heat transmission rate at the surface.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Unsteady magneto porous convective transport by micropolar binary fluid due to inclined plate: An inclusive analogy

Hossain,

Nasrin,

Hasanuzzaman

2024

Heliyon

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Section: Methods Of Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Unsteady magneto porous convective transport by micropolar binary fluid due to inclined plate: An inclusive analogy

Hossain,

Nasrin,

Hasanuzzaman

2024

Heliyon

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“…Consider η = rπ(x, t) as in (58), i.e., where π(x, t) = (Bt + A) n for n = − 1 2 and Γ 1 = Γ 1 (x, t),Γ 2 = Γ 2 (x, t). In this case and by further assuming C 3 to be unity, (66) gives…”

Section: Case (C)mentioning

confidence: 99%

“…(i) The ferromagnetic interaction parameter β = 0 − 10 as in [12,13,39,40,49]; (ii) The magnetic field parameter Mn = 1 , 3 , 5 as in [13,40,49,57]; (iii) The Prandtl number Pr = 21 , 23 , 25 as in [13,40,49]; (iv) The radiation parameter Nr = 0.1 , 0.2 , 0.5 , 1, 1.5, 3 as in [57]; (v) The Eckert number Ec = 0.001 , 0.002, 0.003, 0.01 , 1 as in [58]; (vi) The volume fraction φ = 0 , 0.05 , 0.1 , 0.2 as in [49].…”

Section: Mnmentioning

confidence: 99%

Applications of a Group Theoretical Method on Biomagnetic Fluid Flow and Heat Transfer for Different Shapes of Fe3O4 Magnetic Particles under the Influence of Thermal Radiation and a Magnetic Dipole over a Cylinder

et al. 2022

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The flow and heat characteristics of an unsteady, laminar biomagnetic fluid, namely blood containing Fe3O4 magnetic particles, under the influence of thermal radiation and a magnetic dipole over a cylinder with controlled boundary conditions using a group theory method are investigated in the present study. The mathematical formulation of the problem is constructed with the aid of biomagnetic fluid dynamics (BFD) which combines principles of ferrohydrodynamics (FHD) and magnetohydrodynamics (MHD). It is assumed that blood exhibits polarization as well as electrical conductivity. Additionally, the shape of the magnetic particles, namely cylindrical and spherical, is also considered. Moreover, in this model, a group theoretical transformation, namely a two-parameter group technique, is applied. By applying this group transformation, the governing system of partial differential equations (PDEs) along with applicable boundary conditions are reduced to one independent variable and, consequently, converted into a system of ordinary differential equations (ODEs) with suitable boundary conditions. An efficient numerical technique is applied to solve the resultant ODEs and this technique is based on three essential features, namely (i) a common finite differences method with central differencing, (ii) tridiagonal matrix manipulation and (iii) an iterative procedure. The flow and heat characteristics of blood-Fe3O4 are found to be dependent on some physical parameters such as the particle volume fraction, the ferromagnetic interaction parameter, the magnetic field parameter, and the thermal radiation parameter. An ample parametric study is accomplished to narrate the influences of such physical parameters on velocity, temperature distributions as well as the coefficient of skin friction and rate of heat transfer. From the numerical results, it is deduced that the fluid velocity is enhanced for the ferromagnetic number and the temperature profile is decreased as the ferromagnetic number is gradually increased. It is also obtained that for the cylindrical shape of magnetic particles, the fluid temperature is more enhanced than that of the spherical shape. Both the skin friction coefficient and the local Nusselt number are increased for increasing values of the ferromagnetic interaction parameter, where the heat transfer rate of blood-Fe3O4 is significantly increased by approximately 33.2% compared to that of pure blood, whereas the coefficient of skin friction is reduced by approximately 6.82%.

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Insight into the relationship between non-linear mixed convection and thermal radiation: The case of Newtonian fluid flow due to non-linear stretching

Pandey

Bhattacharyya

Gautam

et al. 2023

Propulsion and Power Research

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Effects of Radiation and Eckert Number on MHD Flow with Heat Transfer Rate Near a Stagnation Point Over a Non-Linear Vertical Stretching Sheet

Cited by 4 publications

References 15 publications

Unsteady magneto porous convective transport by micropolar binary fluid due to inclined plate: An inclusive analogy

Unsteady magneto porous convective transport by micropolar binary fluid due to inclined plate: An inclusive analogy

Applications of a Group Theoretical Method on Biomagnetic Fluid Flow and Heat Transfer for Different Shapes of Fe3O4 Magnetic Particles under the Influence of Thermal Radiation and a Magnetic Dipole over a Cylinder

Insight into the relationship between non-linear mixed convection and thermal radiation: The case of Newtonian fluid flow due to non-linear stretching

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