As a consulting engineer, you have been asked to evaluate the performance of a new, improved lubricant to be used in a circumferentially grooved bearing. Experiment shows that the viscosity of the lubricant varies according to the following equation: $=6895$ exp $[$ A exp $(63\mathrm{.}3$ TK $)+$ B $]$ where TK $=$ temperature in Kelvin, $=$ viscosity in pa s$,$ A $=55,$ and B $=77.$ The bearing is a circumferentially grooved, full journal bearing and has the following specifications: D $=10$ mm; l $=0$ mm; N $=300$ rpm; C $=0\mathrm{.}005$ mm; W $=3$ kN The lubricant supply temperature T $=4$ C$,$ and the supply pressure PS $=2$ Nmm$2.($a$)$ Determine the eccentricity ratio, oil flow rate, exit oil temperature, friction coefficient, and power loss, assuming that the isoviscous solution prevails, i$.$e$.$ that the lubricant viscosity remains fixed at the supply temperature T $=4$ C$.($b$)$ Take into account the viscosity variation with temperature. For this purpose, iterations are needed and you are to write a computer program to do this task. Tabulate the final, converged results in $($b$)$ and compare it to the isoviscous solutions of $($a$).$