Consider a fluid (of constant density ρ) in-compressible, laminar flow in a tube of circular cross section inclined at an angle β to the vertical. End effects may be neglected because the tube length L is relatively very large compared to the tube radius R. The fluid flows under influence of both a pressure difference Δp and gravity.

a) Determine expressions for the steady-state shear stress distribution and the velocity distribution profile for a Newtonian fluid (of constant viscosity μ ).