Show that when laminar flow occurs with mean velocity um between extensive stationary flat plates the mean kinetic energy divided by mass of the fluid is 1.543 um/2.

When calculating the viscous shear of a Newtonian fluid does the direction of velocity gradient matter (i.e. is there a difference in calculation if the velocity profile has a negative slope vs. a postitive slope)?

Consider an airflow over the surface of a flat plate with a temperature Ts = 220 °C. At a certain point from the origin, the temperature profile of the airflow is given by the following y function: q/A As, Ts dA, T(y) = T, - (T. - T)exp afuido The airflow at atmospheric pressure has a free flow velocity u = 0,08 m/s and a temperature T, = 20°C. The thermal diffusivity of the fluid is afluid = 3,65E-05 m?/s and its fluid thermal conductivity Aquid = 0,0329 W/(m K). For the position that corresponds to the temperature profile above, 1. Determine the heat flux over the surface of the plate. 2. Determine the convection coefficient of the airflow.

(1) Experiments show that in a slightly Viscorur flund at on a молод high speeds the drag force fo exerted on body depends on several parametes. An engineer assumes that the drag force fo is a functon of the budy width normal to the upstream Velocity, I upstream Velouty, ✓, the upstream flud veElucay P viscosity, M, speed of sound, I and the airfoils surface roughnars. " use the Buckingham ♬ Theorem to determine the functional dependence of to on non-dimensional flow similarity parameters (2:) Lot the transition to turbulence occur when I = 1.01m, V= 1·01m/s and M₁P = 1:01·10⁰5 m² s. Calculate the transchen Reynolds number, Retrains.