Squeeze film lubrication between circular stepped plates: Rabinowitsch fluid model

Naduvinamani, N. B.; Rajashekar, M. N.; Kadadi, Archana K

doi:10.1016/j.triboint.2014.01.004

Cited by 17 publications

(6 citation statements)

References 16 publications

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“…The non-linear Reynolds type equations are solved by using the small perturbation technique. The results are in well agreement with the Newtonian case and also with the smooth case studied by Naduvinamani et al [15]. Based on the numerical results, presented in the above section, following conclusions have been drawn.…”

Section: Discussionsupporting

confidence: 85%

“…In the limiting case of the roughness parameter C → 0, the results obtained for the smooth case studied by Naduvinamani et al [15] are recovered.…”

mentioning

confidence: 56%

“…This article is aimed at studying the effects of surface roughness parameter C and the non linear factor α. It is observed that all the squeeze film characteristics are found to be functions of non-linear factor of the lubricant α and the roughness parameter C. As the value α approaches to zero, the non-dimensional Reynolds equation reduces to the Newtonian lubricant case and the limiting case of C → 0 corresponds to smooth case studied by Naduvinamani et al [15] In order to analyse the non-Newtonian effects of the fluids on the squeeze film performance of circular stepped plates, various squeeze film characteristics are presented with the following numerical values.…”

Section: Resultsmentioning

confidence: 87%

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On Non-Newtonian Rabinowitsch Fluid Squeeze Film Lubrication between Rough Circular Stepped Plates

Naduvinamani

Apparao

Siddapur³

2016

Tribology Online

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In this paper the effect of surface roughness on squeeze film lubrication between circular stepped plates is analysed. The modified non-linear averaged Reynolds type equation is derived on the basis of Christensen's stochastic theory for rough surfaces for Rabinowitsch fluid model. Accordingly two types of one-dimensional surface roughness patterns, viz., azimuthal roughness pattern and radial roughness pattern are considered. Averaged non-linear Reynolds equation is solved by using the small perturbation method. Expressions are obtained for the load carrying capacity, squeeze film time. It is observed that the effect of azimuthal (radial) surface roughness pattern on squeeze film lubrication between circular stepped plates with Rabinowitsch fluid is to increase (decrease) the load carrying capacity and squeeze film time significantly as compared to the smooth case and the squeeze film performance improves (suffers) due to the use of dilatant (pseudo plastic) lubricants.

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Section: Discussionsupporting

confidence: 85%

“…In the limiting case of the roughness parameter C → 0, the results obtained for the smooth case studied by Naduvinamani et al [15] are recovered.…”

mentioning

confidence: 56%

Section: Resultsmentioning

confidence: 87%

See 1 more Smart Citation

On Non-Newtonian Rabinowitsch Fluid Squeeze Film Lubrication between Rough Circular Stepped Plates

Naduvinamani

Apparao

Siddapur³

2016

Tribology Online

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“…YP Wang and D Kim 42 put forward a method for measuring the stiffness and damping on hybrid air foil bearings. NB Naduvinamani et al 43 established a squeeze film model of ring thrust bearing to analyze the effect of pad structure on squeeze response time. Some parameter values from their research are shown in Table 4.…”

Section: Circular Oil Padmentioning

confidence: 99%

A review of hydrostatic bearing system: Researches and applications

Liu

Wang

Cai

et al. 2017

Advances in Mechanical Engineering

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Hydrostatic bearing is a key part that provides precision and long life to machine tools. It is one of the embodiments of tribology, mechanics, optimization method, and structural design in engineering practice. Articles about hydrostatic bearings since 1990 are collected in this review. Researching status is evaluated in two aspects: basic theory and typical application. This article presents a review of research articles related to introducing developments in hydrostatic bearings. Basic theory contains equations and analysis methods which include analytic, numerical, and experimental methods. Typical applications are based on rectangular oil pad, circular oil pad, and journal bearings. Moreover, this article focuses on the analysis of the relevant model, solution, and optimization and summarizes the hotspots and development directions.

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“…Since the majority of liquids found in industry and physiology react as non-Newtonian liquids, studying the heat transfer of non-Newtonian fluids has been of extreme importance to numerous researchers due to its use in biotechnology and engineering. 30–36 The choice of Rabinowitsch liquid can deal with the complex physiological behaviours of the non-Newtonian fluid. The Rabinowitsch fluid model falls in the category of shear-thinning and shear-thickening fluids.…”

Section: Introductionmentioning

confidence: 99%

Graetz problem for the Rabinowitsch fluid model: A comparative analysis for circular tube and flat channel

Khan

Asghar

Ali

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part E:

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The current set of themes related to the analysis of heat transfer by convection and heat transfer in a tube or channel is commonly referred to as the Graetz problem, which is to investigate the evolution of the temperature profile for a fluid flow in hydrodynamic developed laminar flow. The current research, in this regard, reports the Graetz problem for the constant wall(s) temperature case using the Rabinowitsch fluid model. The associated energy equation is solved via a classical separation of variable approach. The special case of the Rabinowitsch fluid model is also highlighted. The resultant boundary value problem is addressed computationally using the Matlab bvp4c function and the Runge–Kutta method. The real and positive eigenvalues along with the numerical solutions are obtained for the calculation of the temperature field. This study also explains that the Rabinowitsch model has both shear-thinning and shear-thickening effects. The impact of model parameters on mean temperature and Nusselt numbers are thoroughly examined with various graphs.

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Squeeze film lubrication between circular stepped plates: Rabinowitsch fluid model

Cited by 17 publications

References 16 publications

On Non-Newtonian Rabinowitsch Fluid Squeeze Film Lubrication between Rough Circular Stepped Plates

On Non-Newtonian Rabinowitsch Fluid Squeeze Film Lubrication between Rough Circular Stepped Plates

A review of hydrostatic bearing system: Researches and applications

Graetz problem for the Rabinowitsch fluid model: A comparative analysis for circular tube and flat channel

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