Transport Processes I: Heat and Mass Transfer Mcq

6) In a spherical co-ordinate system with 1 point radial, azimuthal and meridional co- ordinates (r, 0,0) respectively, the expression for the gradient of a vector A is, 6) In a spherical co-ordinate system with 1 point radial, azimuthal and meridional co- ordinates (1,0,0) respectively, the expression for the gradient of a vector A is, A, A, , + + r , Ae + + r 0 1 0 (TAE) 1 A, +- r + 1 A) r 1 A, 01 ,) 1 A + r ar + 1 (r? A.) + 2 ar 1 ? sin(0) (sin (0) An) OL (sin(0) ) n(0) 1 A, ? (sin(0))2 None of the above None of the above 7) The expression for the Laplacian of a scalar T, for the same co-ordinate 1 point 7) The expression for the Laplacian of a scalar T, for the same co-ordinate 1 point system as in Question 6, is, system as in Question 6, is, + + r2 02 62 2T + + r2 02 2 1 1 02T . T r 1 2T + + 2 02 2 2 1 r 01 r T ar 1 + + 2 02 r2 2 1 1 r2 + r?sin(0) (sin(1 r sin(0) 1 + ? (sin(0))? 62 0 None of the above None of the above