THE HARTFORD GRADUATE CENTER FALL 1990 COURSE: 137663001 CONDUCTION HEAT TRANSFER INSTRUCTOR: DR. E. GUTIERREZ-MIRAVETE WEDNESDAY 5:30-8:30 P.M. TEXT: S. Kakac and Y.Yener; Heat Conduction, 2nd. ed. LECTURE DATE TOPIC READING ASSIGNMENT ------- ---- ----- -------------------- 1. 9/5 INTRODUCTION TO HEAT CONDUCTION CH. 1 & 2 2. 9/12 THE HEAT CONDUCTION EQUATION AND INTRODUCTION TO STEADY PROBLEMS CH. 2 & 3 (GUEST LECTURER: DR. G. TRAPAGA, MIT) 3. 9/19 ONE-DIMENSIONAL, STEADY STATE HEAT CONDUCTION (CONTINUED) CH. 3 4. 9/26 ORTHOGONAL FUNCTIONS, STURM- LIOUVILLE PROBLEM AND FOURIER EXPANSIONS. CH. 4 5. 10/3 EXAM # 1 6. 10/10 STEADY, MULTIDIMENSIONAL HEAT CONDUCTION CH. 5 7. 10/17 UNSTEADY, MULTIDIMENSIONAL HEAT CONDUCTION (SEPARATION OF VARIABLES) CH. 6 8. 10/24 UNSTEADY, MULTIDIMENSIONAL HEAT CONDUCTION (INTEGRAL TRANSFORMS) CH. 7 9. 10/31 UNSTEADY, MULTIDIMENSIONAL HEAT CONDUCTION (LAPLACE TRANSFORMS) CH. 8 10. 11/7 EXAM # 2 11. 11/14 INTEGRAL AND VARIATIONAL METHODS IN HEAT CONDUCTION CH. 10 12. 11/21 NUMERICAL HEAT CONDUCTION (FINITE DIFFERENCES AND FINITE VOLUMES) CH. 9 13 11/28 NUMERICAL HEAT CONDUCTION (FINITE ELEMENTS) TBA 14. 12/5 HEAT CONDUCTION WITH PHASE CHANGE TBA 15. 12/12 EXAM # 3 FALL 1990 COURSE: 137663001 CONDUCTION HEAT TRANSFER INSTRUCTOR: DR. E. GUTIERREZ-MIRAVETE WEDNESDAY 5:30-8:30 P.M. COURSE POLICY ------------- OBJECTIVE OF THE COURSE: TO DEVELOP SKILLS IN THE FORMULATION AND SOLUTION (BOTH ANALYTICAL AND NUMERICAL) OF PROBLEMS IN MACROSCOPIC CONDUCTION HEAT TRANSFER IN SOLID MATERIALS. STUDENTS WILL LEARN TO CONSTRUCT MATHEMATICAL MODELS OF ACTUAL HEAT CONDUCTION PROBLEMS BY MANIPULATION OF THE GENERAL HEAT CONDUCTION EQUATION. STUDENTS WILL ALSO LEARN TO TRANSLATE PHYSICAL INFORMATION INTO INITIAL AND BOUNDARY CONDITIONS FOR THE GOVERNING EQUATION. FINALLY, STUDENTS WILL LEARN TO IMPLEMENT THE EXISTING SET OF ANALYTICAL AND NUMERICAL TECHNIQUES COMMONLY EMPLOYED FOR THE SOLUTION OF INITIAL AND BOUNDARY PROBLEMS IN HEAT CONDUCTION ANALYSIS. COURSE MATERIAL: THE COURSE CONSISTS OF THREE INTERCONNECTED PARTS. THE FIRST PART COVERS MAINLY FUNDAMENTAL IDEAS, INCLUDING THE PHYSICAL BASIS AND AN OVERVIEW OF MATHEMATICAL METHODS. THE SECOND PART CONCENTRATES ON ANALYTICAL TECHNIQUES FOR THE SOLUTION STEADY, UNSTEADY, AND MULTIDIMENSIONAL PROBLEMS IN HEAT CONDUCTION. THE FINAL PORTION OF THE COURSE IS DEDICATED TO THE STUDY OF NUMERICAL METHODS OF SOLUTION OF THE HEAT CONDUCTION EQUATION. READING ASSIGNMENTS: STUDENTS ARE EXPECTED TO HAVE READ THE ENTIRE TEXTBOOK BY THE END OF THE COURSE. READINGS MUST BE SIMUTANEOUS WITH INDIVIDUAL LECTURES. WRITTEN ASSIGNMENTS: HOMEWORK PROBLEMS WILL BE ASSIGNED PERIODICALLY. STUDENT ANSWERS WILL BE COLLECTED BUT NOT GRADED. EXAMS: THREE EXAMS AS INDICATED IN THE COURSE OUTLINE. THE RELATIVE WEIGHTS OF THE EXAMS TOWARDS THE FINAL GRADE WILL BE AS FOLLOWS: EXAM # 1 (33.3%); EXAM # 2 (33.3%); EXAM # 3 (33.3%) OFFICE HOURS: BY APPOINTMENT ONLY. PLEASE CONTACT DR. GUTIERREZ-MIRAVETE (548-2464) TO ARRANGE MEETINGS. FALL 1990 COURSE: 237663001 CONDUCTION HEAT TRANSFER INSTRUCTOR: DR. E. GUTIERREZ-MIRAVETE WEDNESDAY 5:30-8:30 P.M. READING LIST ------------ REQUIRED: 1.- U. GRINGULL AND H. SANDNER: HEAT CONDUCTION, HEMISPHERE PUBLISHING CO., WASHINGTON, 1984. ISBN 0-89116-366-2. REFERENCE: 1.- M. JAKOB: HEAT TRANSFER, VOL. I, JOHN WILEY & SONS, NEW YORK, 1949. (NO ISBN GIVEN) 2.- H.S. CARSLAW AND J.C. JAEGER: CONDUCTION OF HEAT IN SOLIDS, 2ND. ED., CLARENDON PRESS, OXFORD, 1959. ISBN 0-19-85-3303-9. 3.- M.N. OZISIK: HEAT CONDUCTION, JOHN WILEY & SONS, NEW YORK, 1980. (ISBN N.A.) 4.- S. KAKAC AND Y. YENER: HEAT CONDUCTION, 2ND ED., HEMISPHERE PUBLISHING CO., NEW YORK, 1985. ISBN 0-89116-789-7. 5.- Y. JALURIA AND K.E. TORRANCE: COMPUTATIONAL HEAT TRANSFER, HEMISPHERE PUBLISHING CO., WASHINGTON, 1986. ISBN 0-89116-286-0. 6.- F.B. HILDEBRAND: ADVANCED CALCULUS FOR APPLICATIONS, 2ND ED., PRENTICE-HALL, ENGLEWOOD CLIFFS, 1976. ISBN 0-13-011189-9. 7.- G. STEPHENSON: AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS FOR SCIENCE STUDENTS, 2ND ED. (OR LATEST), LONGMAN, LONDON, 1970. ISBN 0-582-44431-4. 8.- G.D. SMITH: NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS: FINITE DIFFERENCE METHODS, 2ND ED. (OR LATEST), CLARENDON PRESS, OXFORD, 1978. ISBN 0-19-859626-X. 9.- D.R.J. OWEN AND E. HINTON: A SIMPLE GUIDE TO FINITE ELEMENTS, PINERIDGE PRESS, SWANSEA, U.K., 1980. ISBN 0-906674-04-2.