Question

Problem 5 (10 pts) a) (5 pts) What does the following equation describe? Define all variables. Describe each physically meaningful term or group of terms. ah ah ah_Seah ox2 + ayz + azz = Kat b) (5 pts) Write an equation describing steady-state two-dimensional (x-z plane) flow in a confined aquifer with heterogeneous and isotropic hydraulic conductivity. Describe each physically meaningful term or group of terms.

Answer 1

Given equation is o the equation represents unsteady 3-dimensional heat Conduction equation in Cartesian co-ordinates ha Temperature ta Three directions K = Thermal Conductivity ss = $c ; pdensity of material. Ca specific heat of material. dimension (x-dir) equation. 2) I dimension (yn dir) equation. => dimension (z-dir) equation. 7 ob » unsteady state equation. > 3. Dimensional beste Conduction equation. pe => Thermal Capacity of a body or material, Fď +

© steady state de eso - (x - 2) plane 22 h 22.00 at everyone o 20 botons) I ag = heat generation k= Thermal Conductivity om * x-direction heat transfer ²h > Y-direction heat transter. It there is no heat generation