Study of Nonlinear MHD Tribological Squeeze Film at Generalized Magnetic Reynolds Numbers Using DTM

Rashidi, Majid; Freidoonimehr, Navid; Momoniat, E.; Rostami, Behnam

doi:10.1371/journal.pone.0135004

Cited by 29 publications

(15 citation statements)

References 36 publications

(38 reference statements)

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“…The hall effect, viscous dissipation and induced magnetic field are assumed to be negligible because of the magnetic Reynolds number of the flow is considered to be very small. 5. It is assumed that voltage is not applied which implies the absence of an electric field.…”

Section: Mathematical Formulation Of the Problemmentioning

confidence: 99%

“…This type of flow was analyzed by Singh et al [1], Gorla et al [2] and Kearsley et al [3]; Umavathi et al [4] studied the generalized plain heat transfer of Couette flow in a composite channel. The system of non-linear differential equations of a newtonian magnetic lubricant squeeze film flow with magnetic induction effects were solved by Rashidi et al [5] using the combination of the differential transform and Padé approximation methods. Freidoonimehra et al [6] investigated the transient magnetohydrodynamic free laminar convective flow of nano-fluid past a vertical porous and stretched surface under acceleration by considering four different types of water based nano-fluid namely, copper (Cu), copper oxide (CuO), aluminum oxide (Al 2 O 3 ), and titanium dioxide (TiO 2 ) using a fourth order Runge-Kutta method based shooting technique.…”

Section: Introductionmentioning

confidence: 99%

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Thermal diffusion and diffusion thermo effects on an unsteady heat and mass transfer magnetohydrodynamic natural convection Couette flow using FEM

Raju

Reddy

Rao

et al. 2016

Journal of Computational Design and Engineering

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The numerical solutions of unsteady hydromagnetic natural convection Couette flow of a viscous, incompressible and electrically conducting fluid between the two vertical parallel plates in the presence of thermal radiation, thermal diffusion and diffusion thermo is obtained here. The fundamental dimensionless governing coupled linear partial differential equations for impulsive movement and uniformly accelerated movement of the plate were solved by an efficient Finite Element Method.Computations ware performed for a wide range of the governing flow parameters, viz., Thermal diffusion (Soret) and Diffusion thermo (Dufour) parameters, Magnetic field parameter, Prandtl number, Thermal radiation and Schmidt number. The effects of these flow parameters on the velocity (u), temperature (θ) and Concentration (φ) are shown graphically. Also the effects of these pertinent parameters on the skin-friction, the rate of heat and mass transfer are obtained and discussed numerically through tabular forms. These are in good agreement with earlier reported studies. Analysis indicates that the fluid velocity is an increasing function of Grashof numbers for heat and mass transfer, Soret and Dufour numbers whereas the Magnetic parameter, Thermal radiation parameter, Prandtl number and Schmidt number lead to reduction of the velocity profiles. Also, it is noticed that the rate of heat transfer coefficient and temperature profiles increase with decrease in the thermal radiation parameter and Prandtl number, whereas the reverse effect is observed with increase of Dufour number. Further, the concentration profiles increase with increase in the Soret number whereas reverse effect is seen by increasing the values of the Schmidt number. NOMENCLATURE List of Variables: h Distance between two parallel plates ( m ) o H Magnetic field component along   y axis ( 1  m A ) p C Specific heat at constant pressure   K Kg J 1  s C Concentration susceptibility ( 1  mole m ) Gr Grashof number for heat transfer Gc Grashof number for mass transfer g Acceleration of gravity ( 2  s m ) M Hartmann number Pr Prandtl number Sc Schmidt number R Thermal radiation parameter F Accelerating parameter D Chemical molecular diffusivity ( 1 2  s m ) T  Temperature of fluid   K w T  Temperature of the fluid near to moving plate   K h T  Temperature of the fluid near to the stationary plate   K C Concentration of fluid ( 3  m mol ) w C Concentration of the fluid near to moving plate ( 3  m mol ) h C Concentration of the fluid near to the stationary plate ( 3  m mol ) t Time in x , y coordinate system ( s ) t Time in dimensionless co-ordinates ( s ) u Velocity component in   x direction ( 1  s m ) u Dimensionless velocity component in   x direction ( 1  s m ) o Nu Nusselt number at the moving hot plate 1 Nu Nusselt number at the stationary plate Sh Sherwood number Sr Soret number (Thermal Diffusion) Dr Dufour number (Diffusion Thermo) r q Radiative heat flux K Chemical reaction of first order with rate constant y x  , Co-ordinate syste...

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Section: Mathematical Formulation Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermal diffusion and diffusion thermo effects on an unsteady heat and mass transfer magnetohydrodynamic natural convection Couette flow using FEM

Raju

Reddy

Rao

et al. 2016

Journal of Computational Design and Engineering

View full text Add to dashboard Cite

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“…(4), one can obtain (for more details, see Refs. , Rashidi et al (2015), Rashidi and Freidoonimehr (2014)):…”

Section: Application Of Dtmmentioning

confidence: 99%

Analytical Approximation of Nonlinear Vibration of Euler-Bernoulli Beams

Jafari

Rashidi

Johnson

2016

Lat. Am. j. solids struct.

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In this paper, the Homotopy Analysis Method (HAM) with two auxiliary parameters and Differential Transform Method (DTM) are employed to solve the geometric nonlinear vibration of EulerBernoulli beams subjected to axial loads. A second auxiliary parameter is applied to the HAM to improve convergence in nonlinear systems with large deformations. The results from HAM and DTM are compared with another popular numerical method, the shooting method, to validate these two analytical methods. HAM and DTM show excellent agreement with numerical results (the maximum errors in our calculations are about 0.002%), and they additionally provide a simple way to conduct a parametric analysis with different physical parameters in Euler-Bernoulli beams. To show the benefits of this method, the effect of different physical parameters on the amplitude is discussed for a cantilever beam with a cyclically varying axial load.

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“…Further, Abbasi et al [26] developed a mathematical model of peristaltic transport of MHD fluid by considering Entropy 2016, 18, 117 3 of 16 variable viscosity. Some relevant studies to magnetic field models can be found from the list of references [27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Entropy Generation on MHD Blood Flow of Nanofluid Due to Peristaltic Waves

Rashidi

Bhatti

Abbas

et al. 2016

Entropy

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This present study describes the entropy generation on magnetohydrodynamic (MHD) blood flow of a nanofluid induced by peristaltic waves. The governing equation of continuity, equation of motion, nano-particle and entropy equations are solved by neglecting the inertial forces and taking long wavelength approximation. The resulting highly non-linear coupled partial differential equation has been solved analytically with the help of perturbation method. Mathematical and graphical results of all the physical parameters for velocity, concentration, temperature, and entropy are also presented. Numerical computation has been used to evaluate the expression for the pressure rise and friction forces. Currently, magnetohydrodynamics is applicable in pumping the fluids for pulsating and non-pulsating continuous flows in different microchannel designs and it also very helpful to control the flow.

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Study of Nonlinear MHD Tribological Squeeze Film at Generalized Magnetic Reynolds Numbers Using DTM

Cited by 29 publications

References 36 publications

Thermal diffusion and diffusion thermo effects on an unsteady heat and mass transfer magnetohydrodynamic natural convection Couette flow using FEM

Thermal diffusion and diffusion thermo effects on an unsteady heat and mass transfer magnetohydrodynamic natural convection Couette flow using FEM

Analytical Approximation of Nonlinear Vibration of Euler-Bernoulli Beams

Entropy Generation on MHD Blood Flow of Nanofluid Due to Peristaltic Waves

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