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Problem 2.Consider the following square plate arrangements (top view) with boundary layer flow Compared to the...
Consider laminar flow of an incompressible fluid past a flat plate. The boundary layer velocity profile...
Consider laminar flow of an incompressible fluid past a flat plate. The boundary layer velocity profile is given as u = U sin () a. Determine the boundary layer thicknesses 8, 8, as a function of x. Express in terms of Reynolds number. b. Using momentum integral theory, determine the wall shear stress tw, as a func. of x. Express in terms of Reynolds number. C. Determine the friction drag coefficient, Cof-
Air at 25 °C and 1 atm is flowing over a long flat plate with a...
Air at 25 °C and 1 atm is flowing over a long flat plate with a velocity of 8 m/s. (a) Determine the distance from the leading edge of the plate where the flow becomes turbulent. (b) What will be the boundary layer thickness at the end of the plate? (c) If the plate is a 2m by 2 m square, what will be the friction drag acting on the plate? Schematic Given ssumptions Find v=8m/s xcr ,FD ,δ@x=L L-2m...
Air at T=25°C and pressure P=1 bar flows over a square plate with a velocity V=1...
Air at T=25°C and pressure P=1 bar flows over a square plate with a velocity V=1 m/s. This plate has a length L= 1 m and it is heated over its entire length; the plate temperature is constant Tp=100°C. The following data are given. For air: dynamic viscosity: mu = 1.9*10–5 kg/(m.s); density: rho = 1.05 kg/m3; conductivity k = 0.03 W/(m K); Specific heat Cp = 1.007 kJ/(kg K); Prandtl number Pr = 0.7 For laminar flow over a...
MATLAB (2 points) Challenge. Create a SCRIPT file called thirdOrderDE.m 5) Blasius showed in 1908 that the solution to the incompressible flow field in a laminar boundary layer on a flat plate is...
MATLAB
(2 points) Challenge. Create a SCRIPT file called thirdOrderDE.m 5) Blasius showed in 1908 that the solution to the incompressible flow field in a laminar boundary layer on a flat plate is given by the solution of the fol- lowing third-order ordinary nonlinear differential equation Rewrite this equation into a system of three first-order equations, using the following substitutions: h,(m) = f d2 Solve using the ode45 function with the following initial conditions: hi (0) = 0 hs(0) =...
Problem 2 (8 points) The following figures show the side view and top view of a...
Problem 2 (8 points) The following figures show the side view and top view of a bolted connection between three steel plates. Determine: a) Normal stress in plates A, B, and C b) Shear stress in bolt c) Bearing stress between plate B and each bolt Bolt diameter = 1 in t=0.8 in 1 2/4 t = 1.5 in 1000 A Side View 1 B 2000 lb A 1000b с t =0.8 in w = 0.5 in Top View
Problem 2(30 points) Consider the steady-state temperature distribution in a square plate with dimensions 2 m...
Problem 2(30 points) Consider the steady-state temperature distribution in a square plate with dimensions 2 m x 2 m. There is a heat generation of ġ(x.y)=6x [W/my], and the thermal conductivity of k=1[W/(m-°C)]. The temperature on the top boundary is given by a piecewise function, f(x), which is defined below. x(4- x²)+10 0<x<1 | x(4- x?) + 20, 1<x<2 The bottom boundary is insulated. The temperatures on left-handed and right-handed boundary are maintained at constants 10[°C] and 20 [°C] as...
Problem 1. Electrostatics (1) As shown in the Figure below, a parallel-plate capacitor of plate area A is filled with two layers of dielectrics, ch and d2 thick, with permittivities fringe effect...
Problem 1. Electrostatics (1) As shown in the Figure below, a parallel-plate capacitor of plate area A is filled with two layers of dielectrics, ch and d2 thick, with permittivities fringe effect at the four edges (assuming rectangular plates), find the fields Ei and Es in the two dielectrics if a voltage V (assumed positive) is applied to the top plate with regard to the bottom plate. (Note: both magnitudes and directions needed.) and a, respectively. Ignoring the (2) Find...
(1) As shown in the Figure below, a parallel-plate capacitor of plate area A is filled with two laye ers of dielectrics, di and de thick, with permittivities s and s2, respectively. Ignoring the r...
(1) As shown in the Figure below, a parallel-plate capacitor of plate area A is filled with two laye ers of dielectrics, di and de thick, with permittivities s and s2, respectively. Ignoring the ringe effect at the four edges (assuming rectangular plates), find the fields Ei and E2 in the t dielectric ctrics if a voltage V(assumed positive) is applied to the top plate with regard to the bottom plate. (Note: both magnitudes and directions needed.) (2) Find the...
summatize the following info and break them into differeng key points. write them in yojr own...
summatize the following info and break them into differeng key points. write them in yojr own words
apartus
6.1 Introduction—The design of a successful hot box appa- ratus is influenced by many factors. Before beginning the design of an apparatus meeting this standard, the designer shall review the discussion on the limitations and accuracy, Section 13, discussions of the energy flows in a hot box, Annex A2, the metering box wall loss flow, Annex A3, and flanking loss, Annex...
summarizr the followung info and write them in your own words and break them into different...
summarizr the followung info and write them in your own words and break them into different key points. 6.5 Metering Chamber: 6.5.1 The minimum size of the metering box is governed by the metering area required to obtain a representative test area for the specimen (see 7.2) and for maintenance of reasonable test accuracy. For example, for specimens incorporating air spaces or stud spaces, the metering area shall span an integral number of spaces (see 5.5). The depth of...
Consider laminar flow of an incompressible fluid past a flat plate. The boundary layer velocity profile is given as u = U sin () a. Determine the boundary layer thicknesses 8, 8, as a function of x. Express in terms of Reynolds number. b. Using momentum integral theory, determine the wall shear stress tw, as a func. of x. Express in terms of Reynolds number. C. Determine the friction drag coefficient, Cof-
Air at 25 °C and 1 atm is flowing over a long flat plate with a velocity of 8 m/s. (a) Determine the distance from the leading edge of the plate where the flow becomes turbulent. (b) What will be the boundary layer thickness at the end of the plate? (c) If the plate is a 2m by 2 m square, what will be the friction drag acting on the plate? Schematic Given ssumptions Find v=8m/s xcr ,FD ,δ@x=L L-2m...
MATLAB
(2 points) Challenge. Create a SCRIPT file called thirdOrderDE.m 5) Blasius showed in 1908 that the solution to the incompressible flow field in a laminar boundary layer on a flat plate is given by the solution of the fol- lowing third-order ordinary nonlinear differential equation Rewrite this equation into a system of three first-order equations, using the following substitutions: h,(m) = f d2 Solve using the ode45 function with the following initial conditions: hi (0) = 0 hs(0) =...
Problem 2 (8 points) The following figures show the side view and top view of a bolted connection between three steel plates. Determine: a) Normal stress in plates A, B, and C b) Shear stress in bolt c) Bearing stress between plate B and each bolt Bolt diameter = 1 in t=0.8 in 1 2/4 t = 1.5 in 1000 A Side View 1 B 2000 lb A 1000b с t =0.8 in w = 0.5 in Top View
Problem 2(30 points) Consider the steady-state temperature distribution in a square plate with dimensions 2 m x 2 m. There is a heat generation of ġ(x.y)=6x [W/my], and the thermal conductivity of k=1[W/(m-°C)]. The temperature on the top boundary is given by a piecewise function, f(x), which is defined below. x(4- x²)+10 0<x<1 | x(4- x?) + 20, 1<x<2 The bottom boundary is insulated. The temperatures on left-handed and right-handed boundary are maintained at constants 10[°C] and 20 [°C] as...
Problem 1. Electrostatics (1) As shown in the Figure below, a parallel-plate capacitor of plate area A is filled with two layers of dielectrics, ch and d2 thick, with permittivities fringe effect at the four edges (assuming rectangular plates), find the fields Ei and Es in the two dielectrics if a voltage V (assumed positive) is applied to the top plate with regard to the bottom plate. (Note: both magnitudes and directions needed.) and a, respectively. Ignoring the (2) Find...
(1) As shown in the Figure below, a parallel-plate capacitor of plate area A is filled with two laye ers of dielectrics, di and de thick, with permittivities s and s2, respectively. Ignoring the ringe effect at the four edges (assuming rectangular plates), find the fields Ei and E2 in the t dielectric ctrics if a voltage V(assumed positive) is applied to the top plate with regard to the bottom plate. (Note: both magnitudes and directions needed.) (2) Find the...
summatize the following info and break them into differeng key points. write them in yojr own words
apartus
6.1 Introduction—The design of a successful hot box appa- ratus is influenced by many factors. Before beginning the design of an apparatus meeting this standard, the designer shall review the discussion on the limitations and accuracy, Section 13, discussions of the energy flows in a hot box, Annex A2, the metering box wall loss flow, Annex A3, and flanking loss, Annex...
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