Magneto-Hydrodynamic Couplestress Squeeze Film Lubrication of Circular Stepped Plates

Naduvinamani, N. B.; Fathima, S T; Hanumagowda, B. N.

doi:10.1177/1350650110397460

Cited by 22 publications

(18 citation statements)

References 22 publications

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“…The fluid film thickness, h , is defined by

h = h_{1} for 0 \leq r \leq K R = h_{2} for K R \leq r \leq R with 0 \leq K \leq 1.

The modified Reynolds equation for the MHD couple‐stress squeeze film between smooth circular stepped plates derived by Naduvinamani et al . is

\frac{1}{r} \frac{\partial}{\partial r} \{S (H, l, B_{0}) r \frac{\partial p}{\partial r}\} = - σ B_{0}^{2} V,

where

S (H, l, B_{0}) = \frac{2 l}{(A^{2} - B^{2})} \{\frac{B^{2}}{A} \tanh \frac{A H}{2 l} - \frac{A^{2}}{B} \tanh \frac{B H}{2 l}\} + H .

A = {({}, \frac{1 + {((), 1 - 4 l^{2} σ B_{0}^{2} / μ)}^{\frac{true}{1}}}{2})}^{\frac{1}{2}}, B = {({}, \frac{1 - {((), 1 - 4 l^{2} σ B_{0}^{2} / μ)}^{\frac{true}{1}}}{2})}^{^{\frac{1}{2}}} .

…”

Section: Mathematical Formulation Of the Problemmentioning

confidence: 99%

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Effect of surface roughness on magneto‐hydrodynamic couple‐stress squeeze film lubrication between circular stepped plates

Naduvinamani

Hanumagowda²,

Siddangouda³

2012

Lubrication Science

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In this paper, a theoretical analysis of the problem of magneto‐hydrodynamic couple‐stress squeeze film lubrication between rough circular stepped plates is presented. The modified averaged Reynolds equation is derived for the two types of one‐dimensional roughness structures, namely the radial roughness pattern and the azimuthal roughness pattern. The closed‐form expressions are obtained for the mean squeeze film pressure, load‐carrying capacity and squeeze film time. The results are presented for different operating parameters. It is observed that the effect of azimuthal (radial) roughness pattern on the bearing surface is to increase (decrease) the mean load‐carrying capacity and squeeze film time. The applied magnetic field increases the load‐carrying capacity and lengthens the squeezing time. Copyright © 2012 John Wiley & Sons, Ltd.

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“…The fluid film thickness, h , is defined by

h = h_{1} for 0 \leq r \leq K R = h_{2} for K R \leq r \leq R with 0 \leq K \leq 1.

The modified Reynolds equation for the MHD couple‐stress squeeze film between smooth circular stepped plates derived by Naduvinamani et al . is

\frac{1}{r} \frac{\partial}{\partial r} \{S (H, l, B_{0}) r \frac{\partial p}{\partial r}\} = - σ B_{0}^{2} V,

where

S (H, l, B_{0}) = \frac{2 l}{(A^{2} - B^{2})} \{\frac{B^{2}}{A} \tanh \frac{A H}{2 l} - \frac{A^{2}}{B} \tanh \frac{B H}{2 l}\} + H .

A = {({}, \frac{1 + {((), 1 - 4 l^{2} σ B_{0}^{2} / μ)}^{\frac{true}{1}}}{2})}^{\frac{1}{2}}, B = {({}, \frac{1 - {((), 1 - 4 l^{2} σ B_{0}^{2} / μ)}^{\frac{true}{1}}}{2})}^{^{\frac{1}{2}}} .

…”

Section: Mathematical Formulation Of the Problemmentioning

confidence: 99%

“…Hence, in this paper, an attempt has been made to study the combined effect of surface roughness and MHD on the couple‐stress squeeze film characteristics between circular stepped plates. The results are compared with the smooth case studied by Naduvinamani et al …”

Section: Introductionmentioning

confidence: 99%

Effect of surface roughness on magneto‐hydrodynamic couple‐stress squeeze film lubrication between circular stepped plates

Naduvinamani

Hanumagowda²,

Siddangouda³

2012

Lubrication Science

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“…The combined effects of couple stress and MHD on bearing characteristics are studied by Das [13], circular stepped plates by Naduvinamani et al [14] and different types of finite plates by Fathima et al [15]. The results obtained in these studies showed an increase in load carrying capacity of bearings as the strength of applied magnetic field increases and also with increase in the value of couple stress parameter.…”

Section: Introductionmentioning

confidence: 99%

Effect of Magnetohydrodynamic Couple Stresses on Dynamic Characteristics of Exponential Slider Bearing

Naduvinamani¹,

Siddangouda²,

Siddharam³

2017

Tribol. Ind.

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“…Many researchers have applied the hydromagnetic flow model and Stokes couple stress model to engineering problems. For example, Lin, et al (22), Naduvinamani, et al (23), and Ramesh Kudenatti, et al (24) have shown that the effect of applied magnetic field is more significant in increasing the load-carrying capacity and squeeze film time. Fathima,et al (25) have studied the combined effects of couple stresses and magnetic field in anisotropic plates.…”

Section: Introductionmentioning

confidence: 99%

Modified Reynolds Equation for Different Types of Finite Plates with the Combined Effect of MHD and Couple Stresses

Fathima

Naduvinamani

Hanumagowda³

et al. 2015

Tribology Transactions

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We make an effort to analyze the behavior of squeeze film characteristics of different finite plates with couple stress fluid in the presence of a transverse magnetic field. On the basis of the Stokes couple stress fluid model and hydromagnetic flow model, a modified Reynold's equation is derived, which is solved by using appropriate boundary conditions to obtain squeeze film pressure, load-carrying capacity, and squeeze film time. The graphical representation of the results suggests that the different bearing systems register an enhanced performance with couple stresses compared to that of a bearing system working with a conventional lubricant in the presence of a transverse magnetic field. It is observed that the effect of applied magnetic field on the squeeze film lubrication between different finite plates with conducting couple stress fluids is to increase the load-carrying capacity significantly and to delay the time of approach compared to the corresponding nonconducting Newtonian case. It is seen that for all of the finite plates of different shapes, the circular shape gives the maximum load and time.

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Magneto-Hydrodynamic Couplestress Squeeze Film Lubrication of Circular Stepped Plates

Cited by 22 publications

References 22 publications

Effect of surface roughness on magneto‐hydrodynamic couple‐stress squeeze film lubrication between circular stepped plates

Effect of surface roughness on magneto‐hydrodynamic couple‐stress squeeze film lubrication between circular stepped plates

Effect of Magnetohydrodynamic Couple Stresses on Dynamic Characteristics of Exponential Slider Bearing

Modified Reynolds Equation for Different Types of Finite Plates with the Combined Effect of MHD and Couple Stresses

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