For Air Assume: v=1.46×10 -5 m²/s and p = 1.225 kg/m³ Question A1 A flat plate with unit width is placed in a uniform steady two-dimensional flow of air with negligible pressure gradient. The velocity distribution of the boundary layer forming on either side of this plate has been given as: U/U8 = 2.0(y/ 8) - (y/8)2.0, where Us = 10 m/s. 1- Find and expression for the boundary layer thickness as a function of Rex. 2- At x=1.0 m calculate the shear stress corresponding to the points y=0.0,3.0 and 10.0 mm. 3- Calculate the boundary layer displacement and momentum thicknesses at x=1.0m. By using the calculated momentum thickness determine the drag force acting on one side of the plate between its leading edge and x = 1.0m. 4- At x=1.0m, calculate the mass flow rate through the boundary layer (mkg/s per unit width of the plate). What is the corresponding mass flow rate if the flow was inviscid (m; kg/s per unit width of the plate)? 5- By using appropriate equation (s) explain how the difference between mand mi can be related to the boundary layer displacement.

For Air Assume: v=1.46×10 -5 m²/s and p = 1.225 kg/m³ Question A1 A flat plate with unit width is placed in a uniform steady two-dimensional flow of air with negligible pressure gradient. The velocity distribution of the boundary layer forming on either side of this plate has been given as: U/U8 = 2.0(y/ 8) - (y/8)2.0, where Us = 10 m/s. 1- Find and expression for the boundary layer thickness as a function of Rex. 2- At x=1.0 m calculate the shear stress corresponding to the points y=0.0,3.0 and 10.0 mm. 3- Calculate the boundary layer displacement and momentum thicknesses at x=1.0m. By using the calculated momentum thickness determine the drag force acting on one side of the plate between its leading edge and x = 1.0m. 4- At x=1.0m, calculate the mass flow rate through the boundary layer (mkg/s per unit width of the plate). What is the corresponding mass flow rate if the flow was inviscid (m; kg/s per unit width of the plate)? 5- By using appropriate equation (s) explain how the difference between mand mi can be related to the boundary layer displacement.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

A square block is weighing 300 N and having a length of 20 cm on one edge slips on a 20° inclined surface in which there is a film of SAE 30 at 10°C oil. What is the terminal velocity of the block down the incline if the oil thickness at this condition is 1 mm?
Air at 20°C and 1 atm flow past the flat plate in Fig.under laminar conditions. There are two equally spacedpitot stagnation tubes, each placed 2 mm from the wall.The manometer fluid is water at 20°C. If U = 15 m/s andL = 50 cm, determine the values of the manometer readingsh1 and h2, in mm.
Help me please
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.
Engine oil at 100°C flows on the top surface of a 1-m-long flat plate maintained at 20°C. The oil’s freestream speed (u infinity) is 0.1 m/s. Find the engine oil properties from the table A.5 A. Evaluate the Reynolds number, local convection coefficient, heat flux and shear stress at the end of the plate (x = L). Is the air flow laminar or turbulent over the plate?B. Evaluate the average convection coefficient, average heat flux, average shear stress and drag force over the plate.
Consider a two-dimensional flow which varies in 9me and is defined by the velocity field, u = 1 and v = 2yt. Is the flow field incompressible at all 9mes?
a. If the velocity distribution for the laminar boundary layer over a flat plate is given by :- ** (²) ² - 21 + A₂ x U A₁ + A₂ x Determine the form of the velocity profile by using the necessary boundary conditions. After that by using the Von-Karman integral momentum equation find an expression in terms of the Reynolds number to evaluate 1- Boundary Layer Thickness Force 2-Wall Shear Stress 3-Drag 5- Displacement Thickness + A₁ x 4- Local and Average Skin Friction Coefficients 6- Momentum Thickness 7- Energy Thickness
i need the answer quickly
Please also explain.
Evaluate the boundary-layer shape factor, H.
Air flows past a two-dimensional wedge-nosed body as inFig. . Determine the wedge half-angle δ for whichthe horizontal component of the total pressure force on thenose is 35 kN/m of depth into the paper.
Air flows over a stationary flat plate at speed of 4,6 m/s . Plate has a width of 1 m. Air has a density of 1.2 kg/m3 and kinematic viscosity of 1.5x 10-5 m 2/s . Consider plate is totally in air flow field and upper and lower surfaces are identical a) Calculate maximum length of the plate to have a fully laminar flow (in m) b) Calculate total frictional force on the plate considering two surfaces (in N) c) In order to eliminate the frictional force on its surfaces calculate the plate speed(in m/s)