ME 405 - Heat Transfer

Institution:

Point Park University

Subject:

Description:

The course begins with a discussion of Fourier's law governing steady state axial conduction. The law of continuity is used to expand this into the Poisson equation in rectilinear coordinates, which describes the special temperature field resulting from transient heat flow in three dimensions with internal heat generation. Analytical techniques are limited to solutions involving only two of the four independent variables (three spacial plus temporal). A wide variety of problems are solved including those for which the cross sectional area of the conductor is variable and for which thermal conductivity varies as a function of temperature. The Poisson equation is next derived in popular coordinates. This leads to solutions to conduction problems involving cylinders and annuli with or without internal heat generation. The study of the extended surface provides equations for temperature distribution along the length of a fin and for fin efficiency. The study of convective heat transfer begins with the use of Buckingham Pi theorem to show the importance of Reynolds number and the Prandl number. Correlations for convective heat transfer within conduits and external to surfaces are presented and discussed. In problem solving, the emphasis is on turbulent flow situations. Our work on convection culminates with the design of a shell and tube heat exchange where the concept of log-mean temperature difference is introduced. Our work on radiative heat transfer leads to an equation for an effective heat transfer coefficient when surface temperature changes as a function of time, as in the case for the cooling of steel or aluminum ingots or strip. A conclusive section involves the treatment of nucleate boiling where micro-convection dominates and with film boiling which can lead meltdown. Prerequisite: MATH 310. Course Objectives Upon successful completion of the course, students will be able to: (1) Solve problems in axial heat conduction where the conductor has constant cross sectional area or where the area varies as a function of length along the conductor. (2) Solve problems in axial heat conduction where the thermal conductivity varies as a function of temperature. (3) Solve radial conduction problems with or without internal heat generation. (4) Make appropriate selections among the various extended surface types and determine the efficiency of the selection. (5) Select the appropriate correlation for a convective heat transfer situation. (6) Design a shell and tube heat exchanger to a given set of specifications. (7) Design an ingot cooler with due regard to the contribution of radiation to the overall cooling effectiveness. (8) Determine the point of transition from nucleate boiling to film boiling as a function of heat flux per unit area and be cognizant of its applications where burn-out and melt-down are concerned.

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.pointpark.edu

Phone Number:

(412) 391-4100

Regional Accreditation:

Middle States Association of Colleges and Schools

Calendar System:

Semester

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