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- Convective Heat & Mass Transfer - William Kays - 3rd Ed
- CONVECTIVE HEAT & MASS TRANSFER 4TH EDITION
- Convective Heat and Mass Transfer
- ME 6302: Convection Heat Transfer
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Convective Heat & Mass Transfer - William Kays - 3rd Ed
Kays Michael E. Crawford Bernhard Weigand. Download full text here. Size: 2. Consider steady flow of a constant-property fluid in a long duct formed by two parallel planes.
Consider a point sufficiently far removed from the duct entrance that the y component of velocity is. Write the Navier—Stokes equations for both the x and.
What can you deduce about the pressure gradients? Consider flow in the eccentric annulus of a journal bearing in which there is no axial flow. Deduce the applicable laminar boundary-layer equations continuity, momentum, energy for. Deduce a set of boundary-layer differential equations continuity, momentum, energy for. Starting with the general viscous energy equation, show by a succession of steps how and why it.
Derive Eq. Derive the conservation laws for axisymmetric flow in a pipe using control volume principles similar. Assume steady flow, steady state, and. For the momentum equation neglect body forces. For the energy equation. Also, for the energy equation use the thermal. Assume boundary-layer flow, but do. Derive the constant-property energy equation starting with Eq.
Be sure to state all. Develop a momentum integral equation for steady flow without blowing or suction for use in the.
Note that Eq. Develop the corresponding energy integral equation for Prob. Develop a boundary-layer integral equation for the diffusion of component j in a multicomponent. Derive the momentum integral equation and the energy integral equation Using appropriate assumptions, reduce Eq.
Convert Eq. Carry out the necessary algebra to show that Eqs. Using the averaging rules, develop the conservation-of-mass equation , including all the. Reduce Eq. Derive the stagnation enthalpy equation , and reduce it to its low-velocity, constant-property.
Carry out the derivation of the turbulence kinetic energy equation The construction of the boundary-layer equations for momentum and energy can be considered. Recast the laminar boundary-layer equations for momentum,.
Consider steady, laminar, constant-property flow in a duct formed by two parallel planes. Let the. Calculate the development of the velocity profile in the. Note that the mean. Starting with the momentum theorem, develop Eq. Start with a control volume that is of infinitesimal. Then reconsider the. Discuss the implications of the latter assumption. Consider fully developed laminar flow of a constant-property fluid in a circular tube.
At a particular. Compare this with the momentum flux evaluated by multiplying the mass flow rate times the. Explain the difference, then discuss the implications for the last part of Prob. Two air tanks are connected by two parallel circular tubes, one having an inside diameter of 1 cm. The tubes are 2 m long.
One of the tanks has a higher. Assuming that fluid properties remain constant and that. A particular heat exchanger is built of parallel plates, which serve to separate the two fluids, and.
For one of the fluids the plate separation is 1 cm and the nominal fin separation is 2 mm. Consider the extreme case where a 10 percent oversize passage is adjacent to a Let the flow be laminar and the passages sufficiently long that an.
For a fixed pressure drop, how does the. Develop the analysis that leads to the linear shear stress distribution described by Eq. Using the methodology developed in the text for a circular pipe, develop the fully developed mean. Repeat Prob. Compare your velocity-profile result with Eq. You can choose. Note that x D Re is the inverse of the Langhaar variable, used in Fig. For initial. Use Eq. Re h h D x D to show how the data approach the hydrodynamic fully developed values that are.
Confirm the hydrodynamic entrance length, and. Plot the nondimensional velocity profiles at various Re h h D x D locations.
Plot the absolute value of the pressure gradient versus. Re h h D x D to show how the gradient becomes constant beyond the hydrodynamic entrance region. Evaluate the ratio of centerline velocity to mean velocity and plot it versus Re h h D x D to show how. Evaluate the centerline velocity to mean velocity ratio and plot it. Confirm the hydrodynamic entrance length using data in Shaw and London. Plot the absolute value of the pressure gradient versus Re h h D x D to show how.
Evaluate the ratio of. Starting from the appropriate momentum and energy differential equations, evaluate the Nusselt. The heat-transfer rate per unit of duct. Compare your results with those given in the text Table With a low-Prandtl-number fluid, the temperature profile in a tube develops more rapidly than the. Thus, as the Prandtl number approaches zero, the temperature profile can approach.
Convection solutions based on a uniform velocity over the. Develop an expression for the slug-flow,. Compare with the results in Table and discuss. Consider a 0. At some point beyond the fully developed location, a 1.
Let the mass flow rate of the fuel be 1. The following average properties may be treated as constant:. Note, there is a small correction to the problem statement. Calculate and plot both tube surface. What is the highest. Consider fully developed, constant-property laminar flow between parallel planes with constant heat. Suppose heat is transferred to the. What is the Nusselt number on. Sketch the temperature profile.
Suppose the fluid is an oil for which the. Is the velocity profile affected? Is the temperature profile affected? Is the Nusselt.
Consider a concentric circular-tube annulus, with outer diameter 2. Heat is supplied to.
CONVECTIVE HEAT & MASS TRANSFER 4TH EDITION
Kays Michael E. Crawford Bernhard Weigand. Download full text here. Size: 2. Consider steady flow of a constant-property fluid in a long duct formed by two parallel planes. Consider a point sufficiently far removed from the duct entrance that the y component of velocity is. Write the Navier—Stokes equations for both the x and.
Convective Heat and Mass Transfer
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ME 6302: Convection Heat Transfer
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Convective Heat & Mass Transfer - William Kays - 3rd Ed. April 24, | Author: Sagar Pradhan | Category: N/A.
Embed Size px x x x x An Introductory Note Some of the problems in the text are brief exercises leading to single numerical or algebraic results, but the great majority are much more extensive investigations, some approaching the magnitude of term projects. In the latter cases, there is usually no simple answer. Student initiative is encouraged and this leads to results that may differ numerically or may involve results not asked for in the problem statement. In any case, the authors place more value on a written discussion at the end of the student's papers, and on the development of the analysis, than on numerical results.