Homework Answers
Add Answer to:
4. Obtain the momentum and energy integral equations for the unsteady two-dimensional laminar boundary layer equations...
A laminar boundary layer can be approximated by a velocity profile consisting in two linear segments, as shown in Fig. 2...
A laminar boundary layer can be approximated by a velocity
profile consisting in two linear segments, as shown in Fig.
2.
Problem 2 A laminar boundary layer can be approximated by a velocity profile consisting in two linear seg- ments, as shown in Fig. 2 S/2 2U 3 U Figure 2: Boundary layer profile. Using the momentum integral method, determine the boundary layer height 6 (z) and the wall shear stress distribution TuTu (r). Compare your results with the Blasius...
Deduce a set of boundary-layer differential equations (continuity, momentum, energy) for steady f...
Deduce a set of boundary-layer differential equations
(continuity, momentum, energy) for steady flow of a
constant-property fluid without body forces, and with negligible
viscous dissipation, in a coordinate system suitable for analysis
of the boundary layer on the surface of a rotating disk
Problem # 6 Deduce a set of boundary-layer differential equations (continuity, momentum, energy) for steady flow of a constant-property fluid without body forces, and with negligible viscous dissipation, in a coordinate system suitable for analysis of the...
Use the integral method for boundary layer flow and convective heat transfer over a flat plate he...
Use the integral method for boundary layer flow and convective heat transfer over a flat plate heated by maintaining a constant heat flux q"w, for the case of very low Prandtl number, Pr0. Assume that the free stream velocity of the fluid, U, and free stream temperature, T-do not vary with x. Using the integral form of energy equation, show that under these conditions: (a) the temperature profile, (T- T) is given by, 41 2 CT-T oa (b) the wall...
Please make the hand writing legible. Thanks Consider the situation depicted below, in which an incompressible...
Please make the hand writing legible. Thanks
Consider the situation depicted below, in which an incompressible fluid flows over a flat surface of solid. Upstream of the surface, the fluid has velocity U and uniform temperature To. As the fluid is viscous, both a momentum boundary layer, and a thermal boundary layer form, and heat is transferred to the solid surface. A convective coefficient h can be used to describe the dimensional heat transfer rate to the solid, and is...
A fluid flow over a solid surface with a laminar boundary layer velocity profile is approximated...
A fluid flow over a solid surface with a laminar boundary layer velocity profile is approximated by the following equation: Ý = 2 () – ()* for y so and, 4 = 0 for y> 8 i). Show that this velocity profile satisfies the appropriate boundary conditions. ii) Determine the boundary layer thickness, 8 = 8(x) by using the momentum integral equation for the equation in Question 3(b)(i).
22. Consider the momentum integral equation turbulent boundary layer on an isothermal flat plate. The boundary...
22. Consider the momentum integral equation turbulent boundary layer on an isothermal flat plate. The boundary layer is tripped at x-0. Assume constant properties and velocity. An experiment conducted to measure u and τ showed that for a steady, and τ= 0.0228 ρu® a) Determine the local friction coefficient, Cf/2 b) Using Colburn analogy, obtain an expression for the local Nusselt number.
2. For a boundary layer flow with U suction velocity Vo (0 is introduced at the...
2. For a boundary layer flow with U suction velocity Vo (0 is introduced at the wall to delay flow separation. (a) By integrating the boundary layer equations from porous wall across the boundary layer, show that the integral momentum equation is given by -constant over a porous plate as shown in Figure 1, a Ou where τνν-μ w- 1 оу y-o and (b) obtain the integral energy equation. (c) Perform the dimensionless analysis on the integral equations and discuss...
3. (Cotal: 30 pts) Consider a cylinder of radius R and length L. The thermal "Gonductivity ofthe eyǐnaeris R. The temperature is fixed at the left end at TO and the other end is subject to co...
3. (Cotal: 30 pts) Consider a cylinder of radius R and length L. The thermal "Gonductivity ofthe eyǐnaeris R. The temperature is fixed at the left end at TO and the other end is subject to convective heat transfer with heat transfer coefficient h and environment temperature of To. The side surface of the cylinder is subject to radiative heat transfer to environment of To. Assume there is no heat generation in the cylinder. (10 pts) starting with energy balance,...
Consider the two-dimensional geometry below; default thickness is 1.0 m. Boundary conditions are 100 C along edge AB 1....
Consider the two-dimensional geometry below; default thickness is 1.0 m. Boundary conditions are 100 C along edge AB 1. T 2. Zero heat flux along edge DA 3. Convection along edges BC and CD with 0 C ambient temperature and a surface convective coefficient of 750 W/m2/degree C. The material conductivity is 52 W/m/degree C Find the smallest bilinear mesh and biquadratic mesh necessary obtain the reference value temperature at point E of 18.3 C, within a tolerance of 3...
PROBLEM 1: Answer/Define/Explain shortly and/or Fill in the blanks (40 P) a) What are the two...
PROBLEM 1: Answer/Define/Explain shortly and/or Fill in the blanks (40 P) a) What are the two types of energy transfer in Convection? b) A thermal boundary layer must develop if ....... c) Define the critical Reynolds number. d) What are the assumptions for Boundary Layer Equations for Laminar Flow? e) Define the Nusselt number. f) Define the Prandtl number. g) How the Pr influences the relative growth of the boundary layers, explain briefly ? h) Explain favorable pressure gradient. i)...
A laminar boundary layer can be approximated by a velocity
profile consisting in two linear segments, as shown in Fig.
2.
Problem 2 A laminar boundary layer can be approximated by a velocity profile consisting in two linear seg- ments, as shown in Fig. 2 S/2 2U 3 U Figure 2: Boundary layer profile. Using the momentum integral method, determine the boundary layer height 6 (z) and the wall shear stress distribution TuTu (r). Compare your results with the Blasius...
Deduce a set of boundary-layer differential equations
(continuity, momentum, energy) for steady flow of a
constant-property fluid without body forces, and with negligible
viscous dissipation, in a coordinate system suitable for analysis
of the boundary layer on the surface of a rotating disk
Problem # 6 Deduce a set of boundary-layer differential equations (continuity, momentum, energy) for steady flow of a constant-property fluid without body forces, and with negligible viscous dissipation, in a coordinate system suitable for analysis of the...
Use the integral method for boundary layer flow and convective heat transfer over a flat plate heated by maintaining a constant heat flux q"w, for the case of very low Prandtl number, Pr0. Assume that the free stream velocity of the fluid, U, and free stream temperature, T-do not vary with x. Using the integral form of energy equation, show that under these conditions: (a) the temperature profile, (T- T) is given by, 41 2 CT-T oa (b) the wall...
Please make the hand writing legible. Thanks
Consider the situation depicted below, in which an incompressible fluid flows over a flat surface of solid. Upstream of the surface, the fluid has velocity U and uniform temperature To. As the fluid is viscous, both a momentum boundary layer, and a thermal boundary layer form, and heat is transferred to the solid surface. A convective coefficient h can be used to describe the dimensional heat transfer rate to the solid, and is...
A fluid flow over a solid surface with a laminar boundary layer velocity profile is approximated by the following equation: Ý = 2 () – ()* for y so and, 4 = 0 for y> 8 i). Show that this velocity profile satisfies the appropriate boundary conditions. ii) Determine the boundary layer thickness, 8 = 8(x) by using the momentum integral equation for the equation in Question 3(b)(i).
22. Consider the momentum integral equation turbulent boundary layer on an isothermal flat plate. The boundary layer is tripped at x-0. Assume constant properties and velocity. An experiment conducted to measure u and τ showed that for a steady, and τ= 0.0228 ρu® a) Determine the local friction coefficient, Cf/2 b) Using Colburn analogy, obtain an expression for the local Nusselt number.
2. For a boundary layer flow with U suction velocity Vo (0 is introduced at the wall to delay flow separation. (a) By integrating the boundary layer equations from porous wall across the boundary layer, show that the integral momentum equation is given by -constant over a porous plate as shown in Figure 1, a Ou where τνν-μ w- 1 оу y-o and (b) obtain the integral energy equation. (c) Perform the dimensionless analysis on the integral equations and discuss...
3. (Cotal: 30 pts) Consider a cylinder of radius R and length L. The thermal "Gonductivity ofthe eyǐnaeris R. The temperature is fixed at the left end at TO and the other end is subject to convective heat transfer with heat transfer coefficient h and environment temperature of To. The side surface of the cylinder is subject to radiative heat transfer to environment of To. Assume there is no heat generation in the cylinder. (10 pts) starting with energy balance,...
Consider the two-dimensional geometry below; default thickness is 1.0 m. Boundary conditions are 100 C along edge AB 1. T 2. Zero heat flux along edge DA 3. Convection along edges BC and CD with 0 C ambient temperature and a surface convective coefficient of 750 W/m2/degree C. The material conductivity is 52 W/m/degree C Find the smallest bilinear mesh and biquadratic mesh necessary obtain the reference value temperature at point E of 18.3 C, within a tolerance of 3...
PROBLEM 1: Answer/Define/Explain shortly and/or Fill in the blanks (40 P) a) What are the two types of energy transfer in Convection? b) A thermal boundary layer must develop if ....... c) Define the critical Reynolds number. d) What are the assumptions for Boundary Layer Equations for Laminar Flow? e) Define the Nusselt number. f) Define the Prandtl number. g) How the Pr influences the relative growth of the boundary layers, explain briefly ? h) Explain favorable pressure gradient. i)...
Most questions answered within 3 hours.
-
In 1970s and 1980s, molecular biologists discovered that the
hormone testosterone, binds a receptor protein that...
asked 41 minutes ago -
january 1 2010 road catering service purchase a piece of
equipment for 58000 which is expected...
asked 1 hour ago -
Explain Mertons concept of anomie is and what the
modes of adaptation to it are?
asked 1 hour ago -
Jamie is doing a survey at her school about whether the students
feel the cafeteria food...
asked 3 hours ago -
How many liters of 0.669 M KOH will be needed to raise the pH of
0.339...
asked 5 hours ago -
A liquid of density 1270 kg/m 3 flows steadily through a pipe of
varying diameter and...
asked 5 hours ago -
Questions: What should the American executive do?
'A visiting American executive finds that a foreign subsidiary...
asked 5 hours ago -
Activity based costing was introduced as an alternative to
absorption costing.
1. Discuss using illustration the...
asked 5 hours ago -
1. You own shares of Crane DVD Company and are interested in
selling them. With so...
asked 5 hours ago -
How many grams of He are necessary to fill a balloon having a
volume of 4.5E3...
asked 5 hours ago -
The 2 patients, still in the hospital, were interviewed by a
MoH epidemiologist. The interviews revealed...
asked 5 hours ago -
An uncharged capacitor and a resistor are connected in series to
a source of emf. If...
asked 6 hours ago