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
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Deduce a set of boundary-layer differential equations (continuity, momentum, energy) for steady f...
Derive a discretized form of the generic integral form of the continuity, momentum and energy equations...
Derive a discretized form of the generic integral form of the continuity, momentum and energy equations obtained in Prob 2.2. The discretized form is the essense of the finite volume approach. ( Prob 2.2: Derive the momentum and energy equations for a viscous flow in integral form. Show that all three conservation equations--continuity momentum, and energy-can be put in a single generic integral form.)
Using the Energy Integral Equation (EIE), derive an expression for the average Nusselt number (in terms...
Using the Energy Integral Equation (EIE), derive an expression for the average Nusselt number (in terms of Reynolds and Prandtl numbers) for laminar flow of a fluid over a surface with a free stream velocity of U. (which is a constant). Assume the fluid velocity in the momentum boundary layer is the same as the free stream velocity and (T-Tw)/(To-Tw)=(y/St), where T is the fluid temperature field in the thermal boundary layer, To is the free stream temperature, Twis the...
4. Obtain the momentum and energy integral equations for the unsteady two-dimensional laminar boundary layer equations...
4. Obtain the momentum and energy integral equations for the unsteady two-dimensional laminar boundary layer equations (Ref: Problem 6.3, Convective Heat Transfer, Burmeister)
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...
5. (Hints: This derivation is presented in your textbook briefly. I also discussed that in the cl...
plz if you could make it clear.
will thumb up
5. (Hints: This derivation is presented in your textbook briefly. I also discussed that in the class. I would like you to provide step-by-step process for this mathematical derivation. You need to use the continuity equation (Eq. 6-21) for the derivation process) Starting from the first law of Thermodynamics for a differential control volume, derive the general governing equation for temperature (6-35) for a 2D flow over flat plate. Using...
A. In the table below, identify which of the circled terms of the governing equations can...
A. In the table below, identify which of the circled terms of
the governing equations can be neglected
by the given assumption. Write the number of the term in the table.
Some assumptions relate
to multiple terms, include them all.
B. Write the mathematical equations describing the
appropriate boundary conditions and identify
them in words.
C. Applying the appropriate boundary conditions,
solve the differential equation remaining after
appropriate terms have been neglected to determine the velocity
profile in the film: d^2(w)/dx^2 =...
Fluid Mechanics. Please answer as many as you can. Short answer questions 1) Explain the physical...
Fluid Mechanics. Please answer as many as you can.
Short answer questions 1) Explain the physical meaning of the acceleration term uVu, where u is the velocity vector in a fluid. 2) Name the two equations that are required to describe the flow of an inertial jet in an incompressible, unstratified fluid. 3) What is the “Continuum Hypothesis”? 4) Describe how a viscous boundary layer adjacent to a solid surface results in transfer of momentum to/from that surface. 5) What...
Now evaluate the mass and momentum into and out of the CV shown with 1.0s y Rs 1.5 at (2) Let p 1...
Now evaluate the mass and momentum into and out of the CV shown with 1.0s y Rs 1.5 at (2) Let p 1200 kg/m2, Uoo- 20 m/s and cylinder radius R 0.01 m 1 cm and Az 1 m Note: The flow does not cross streamlines, so there is no flow across the side boundaries. Exit (2) NO SCALE Variable u vs y at x2-0 Inlet (1) y- H1 and v 0 constant u Uo constant v0 A) Find mass...
BIG UPVOTE FOR RIGHT ANSWER Viscous fluid flow 2nd edition Frank White I need answer of...
BIG UPVOTE FOR RIGHT ANSWER
Viscous fluid flow 2nd edition Frank White
I need answer of 2.17
I have attached 2.14 question and solution for reference.
2.17 As an extension of Prob. 2-14, consider the heat-transfer
aspect by assuming a uniform entrance profile T = To and an exit
profile approximated by T(r) = T0(1.5 + 0.5r2/ri). For flow with
constant (p, F, cp, k) and negligible kinetic- and potential-energy
changes, use the integral relations to compute the total heat...
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...
Using the Energy Integral Equation (EIE), derive an expression for the average Nusselt number (in terms of Reynolds and Prandtl numbers) for laminar flow of a fluid over a surface with a free stream velocity of U. (which is a constant). Assume the fluid velocity in the momentum boundary layer is the same as the free stream velocity and (T-Tw)/(To-Tw)=(y/St), where T is the fluid temperature field in the thermal boundary layer, To is the free stream temperature, Twis the...
4. Obtain the momentum and energy integral equations for the unsteady two-dimensional laminar boundary layer equations (Ref: Problem 6.3, Convective Heat Transfer, Burmeister)
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...
plz if you could make it clear.
will thumb up
5. (Hints: This derivation is presented in your textbook briefly. I also discussed that in the class. I would like you to provide step-by-step process for this mathematical derivation. You need to use the continuity equation (Eq. 6-21) for the derivation process) Starting from the first law of Thermodynamics for a differential control volume, derive the general governing equation for temperature (6-35) for a 2D flow over flat plate. Using...
A. In the table below, identify which of the circled terms of
the governing equations can be neglected
by the given assumption. Write the number of the term in the table.
Some assumptions relate
to multiple terms, include them all.
B. Write the mathematical equations describing the
appropriate boundary conditions and identify
them in words.
C. Applying the appropriate boundary conditions,
solve the differential equation remaining after
appropriate terms have been neglected to determine the velocity
profile in the film: d^2(w)/dx^2 =...
Fluid Mechanics. Please answer as many as you can.
Short answer questions 1) Explain the physical meaning of the acceleration term uVu, where u is the velocity vector in a fluid. 2) Name the two equations that are required to describe the flow of an inertial jet in an incompressible, unstratified fluid. 3) What is the “Continuum Hypothesis”? 4) Describe how a viscous boundary layer adjacent to a solid surface results in transfer of momentum to/from that surface. 5) What...
Now evaluate the mass and momentum into and out of the CV shown with 1.0s y Rs 1.5 at (2) Let p 1200 kg/m2, Uoo- 20 m/s and cylinder radius R 0.01 m 1 cm and Az 1 m Note: The flow does not cross streamlines, so there is no flow across the side boundaries. Exit (2) NO SCALE Variable u vs y at x2-0 Inlet (1) y- H1 and v 0 constant u Uo constant v0 A) Find mass...
BIG UPVOTE FOR RIGHT ANSWER
Viscous fluid flow 2nd edition Frank White
I need answer of 2.17
I have attached 2.14 question and solution for reference.
2.17 As an extension of Prob. 2-14, consider the heat-transfer
aspect by assuming a uniform entrance profile T = To and an exit
profile approximated by T(r) = T0(1.5 + 0.5r2/ri). For flow with
constant (p, F, cp, k) and negligible kinetic- and potential-energy
changes, use the integral relations to compute the total heat...
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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