The present paper analyzes the Rabinowitsch fluid (RF) behavior on a pivoted curved slider with surface roughness (SR) with the aid of the perturbation technique. In order to account for the random roughness of the bearing surfaces, a stochastic random variable with a nonzero mean, variance, and skewness was taken into consideration. The averaged Reynolds equation (RE) was developed using a stochastic random variable. The load carrying capacity (LCC) and centre of pressure (COP) were obtained by solving the relevant stochastically averaged RE with appropriate boundary conditions. Bearing performance was observed to suffer as a result of transverse SR; nevertheless, the bearing system's efficiency can be increased in the case of negatively-skewed SR. It was demonstrated that, unlike a traditional lubricant, the bearing can withstand a LCC even in the absence of flow. The outcomes of the current paper can be helpful in various modern mathematical physics engineering applications.
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