매틀랩을 이용한 열전달 수치해석(Heat Transfer)

소개글

매틀랩을 이용해 고기를 오븐과 자동차 본넷위에서 구울때의 차이를 조사한 프로젝트입니다.
자세한내용은 참고문헌 참조.

목차

01. Introduction 
02. System & assumption 
03. Properties
04. Theory
05. Mathematical Formulation 
06. Programing 
07. Result 
08. Conclusion 
09. Reference

본문내용

T1(i+1)=(1-4*tau-4/3*tau*h*l/k*(1+sqrt(2)))*T1(i)+4/3*tau*(T2(i)+2*T7(i)+h*l*Tfin*(1+sqrt(2))/k);
T2(i+1)=(1-4*tau-2*tau*h*l/k)*T2(i)+tau*(T1(i)+T3(i)+2*T8(i)+2*h*l*Tfin/k);
T3(i+1)=(1-4*tau-2*tau*h*l/k)*T3(i)+tau*(T2(i)+T4(i)+2*T9(i)+2*h*l*Tfin/k);
T4(i+1)=(1-4*tau-2*tau*h*l/k)*T4(i)+tau*(T3(i)+T5(i)+2*T10(i)+2*h*l*Tfin/k);
T5(i+1)=(1-4*tau-2*tau*h*l/k)*T5(i)+2*tau*(T4(i)+T11(i)+h*l*Tfin/k);
T6(i+1)=(1-4*tau-2*sqrt(2)*tau*h*l/k)*T6(i)+2*tau*(T7(i)+T13(i)+h*l*Tfin*(sqrt(2))/k);
T7(i+1)=(1-4*tau)*T7(i)+tau*(T1(i)+T6(i)+T8(i)+T14(i));
T8(i+1)=(1-4*tau)*T8(i)+tau*(T2(i)+T7(i)+T9(i)+T15(i));
T9(i+1)=(1-4*tau)*T9(i)+tau*(T3(i)+T8(i)+T10(i)+T16(i));
T10(i+1)=(1-4*tau)*T10(i)+tau*(T4(i)+T9(i)+T11(i)+T17(i));
T11(i+1)=(1-4*tau)*T11(i)+tau*(T5(i)+T10(i)+T10(i)+T18(i));
T12(i+1)=(1-4*tau-4/3*tau*h*l/k*(1+sqrt(2)))*T12(i)+4/3*tau*(2*T13(i)+T19(i)+h*l*Tfin*(1+sqrt(2))/k);
T13(i+1)=(1-4*tau)*T13(i)+tau*(T6(i)+T12(i)+T14(i)+T20(i));
T14(i+1)=(1-4*tau)*T14(i)+tau*(T7(i)+T13(i)+T15(i)+T21(i));
T15(i+1)=(1-4*tau)*T15(i)+tau*(T8(i)+T14(i)+T16(i)+T22(i));
T16(i+1)=(1-4*tau)*T16(i)+tau*(T9(i)+T15(i)+T17(i)+T23(i));
T17(i+1)=(1-4*tau)*T17(i)+tau*(T10(i)+T16(i)+T18(i)+T24(i));
T18(i+1)=(1-4*tau)*T18(i)+tau*(T11(i)+T17(i)+T17(i)+T25(i));
T19(i+1)=(1-4*tau-2*tau*h*l/k)*T19(i)+tau*(T12(i)+2*T20(i)+Tbot+2*h*l*Tfin/k);
T20(i+1)=(1-4*tau)*T20(i)+tau*(T13(i)+T19(i)+T21(i)+Tbot);
T21(i+1)=(1-4*tau)*T21(i)+tau*(T14(i)+T20(i)+T22(i)+Tbot);
T22(i+1)=(1-4*tau)*T22(i)+tau*(T15(i)+T21(i)+T23(i)+Tbot);
T23(i+1)=(1-4*tau)*T23(i)+tau*(T16(i)+T22(i)+T24(i)+Tbot);
T24(i+1)=(1-4*tau)*T24(i)+tau*(T17(i)+T23(i)+T25(i)+Tbot);
T25(i+1)=(1-4*tau)*T25(i)+tau*(T18(i)+T24(i)+T24(i)+Tbot);

참고 자료

◎ "1993 Ashrae Handbook SI Eddition" - American Society of
Heating, Refrigerating and Air-Conditioning Engineers, Inc.
◎ "Dinner with Ambassadors" - Hollym, Abby Carrol
◎ "Handbook of Heat Transfer 3rd Eddition" - McGrowHill,
Warren M. Rohsenow