1. (a) A fluid with density and viscosity is located between two vertical walls at a distance 2L apart. The heated wall at y=L is maintained at temperature T2, and the cooled wall at y= L is maintained at temperature T1. It is assumed that the temperature difference is sufficiently small, that the terms containing (T)2 can be neglected. Prove that vx=12PT[(Ly)21]Ly)=vso[(Ly)21](Ly) and Re=121Gr(21)= Where Re= Reynold's Number and Gr= Grashof number, =Ly and = average density of fluid; explain all assumptions clearly for this derivation. (b) Draw the temperature profile and velocity profile between two plates with proper explanation