WõĵȲһ֣
ȲϵѡͨȡھӦõҪΪͬĵȲڲͬ±ֳͬܡһЩĵȲϼԣ
1. ͨкܸߵĵܣͭdzõĵȲϡڸ±ֳȶܣҵӦá
2. մɣմҲȲϡͨȽ£Բմͨڸ»µӦã¯ӻ¯ĸȡ
3. ϣһֽµĵȲϣҪϵ͵ܵӦáϾһĥԺͿʴԣҲγɸӵ״
4. ʯīʯīһֳõĵȲϣΪõĵܣõܡʯīһЩӦ㯯
ˣõĵȲȡھӦõҪҪۺϿDzϵĵܡܡĥԡʴԵȶء
WȽϴʣһã
ڵȽϴʷ棬ͨѵĵܡ˵ĵãɱϸߣʵӦиʹõͭͭĵܶdzɫҼ۸ԽΪӦй㷺ʹá⣬֡þѵȽҲнϸߵĵܡ
ҪעǣȻڴʷƣܺͿʴܿܲϣھӦҪۺϿǶء
ͭĵٶȾʲôλģ
ͭĵٶͨȵ䵥λÿÿģW/mKȵʱʾλʱڵλϵͨʱλ¶ȲҲ˵ʾϵǿȵԽϵĵԽǿ
ͭԣȵʴԼΪ 400 W/mK ңζ¶ȲΪ 1 ʱͭϵλԼΪ 400 ءˣͭзdzɫĵܣ㷺ӦɢȽȹܵҪЧȵ
400 W/mKٶȵĻ൱ÿСʱٹأ
ȵϴܵٶ˶֮ûֱӵĻϵˣȵֱӻΪٶȡ
Ҫעǣȵʱʾǵλʱڵλϵ䵥λÿÿģW/mKΪÿͨλô䵥λÿƽףW/m^2ٶûֱӵϵתΪÿСʱٹ
Wȵ²ȹϵ
ȵʲ²ȹϵ²ɷȹϵ
ȵʱʾǵλʱڵλϵ뵥λ¶Ȳ֮ıֵͨܶ¶ݶȵıֵͨ£λʱͨϵӣ߲ϳӣͨܶҲӦӣӶ¶ݶȵӡʱϵȵʲ䣬λʱͨϵҲ֮ӣܵĴʻӡ
ˣȵʲ²ȹϵ¶ݶȳȹϵȵԽλ¶ȲµλԽȴٶҲԽ졣ͬʱϵijߴȵʣôλ¶ȲԽСͨܶԽСܴٶҲԽ
W10׳ͭܵһȺòŻһأ
ش㲻Ҳԭ
W10׳ͭܣں1ףֱΪ1ףһ100 òŻһأ
漰ȴ̣Ҫ֪ͭȵʺݣԼܵļ״ܵǾȵģû߽ͨ类ݣǿʹ¹ʽʱ䣺
t = frac{mcDelta T}{pi^2D^2Lk}t=2D2LkmcT
У$m$ ͭܵ$c$ ͭıݣ$Delta T$ ͭ˵¶Ȳ$D$ ǹֱܵ$L$ ǹܵijȣ$k$ ͭȵʡݸݣǿԽ¼㣺
ͭܶ $rho = 8.96 text{ g/cm}^3$ͭܵΪ $m = rho V = rho pi r^2 L = 0.00028 text{ kg}$
ͭı $c = 0.385 text{ J/(g}cdot text{)}$
ͭȵ $k = 401 text{ W/(m}cdot text{K)}$
ֱתΪף$D = 0.01 text{ m}$ $L = 10 text{ m}$
ΪܵǾȵģԿԼܵ˵¶Ȳ $Delta T = 100 text{ }$
Щֵ빫ʽУõ
t = frac{mcDelta T}{pi^2D^2Lk} approx 269 text{ s}t=2D2LkmcT269 s
ˣԼҪ 269 4 Ӻ 29 ʱܰͭܵһˡ
ȲϵѡͨȡھӦõҪΪͬĵȲڲͬ±ֳͬܡһЩĵȲϼԣ
1. ͨкܸߵĵܣͭdzõĵȲϡڸ±ֳȶܣҵӦá
2. մɣմҲȲϡͨȽ£Բմͨڸ»µӦã¯ӻ¯ĸȡ
3. ϣһֽµĵȲϣҪϵ͵ܵӦáϾһĥԺͿʴԣҲγɸӵ״
4. ʯīʯīһֳõĵȲϣΪõĵܣõܡʯīһЩӦ㯯
ˣõĵȲȡھӦõҪҪۺϿDzϵĵܡܡĥԡʴԵȶء
WȽϴʣһã
ڵȽϴʷ棬ͨѵĵܡ˵ĵãɱϸߣʵӦиʹõͭͭĵܶdzɫҼ۸ԽΪӦй㷺ʹá⣬֡þѵȽҲнϸߵĵܡ
ҪעǣȻڴʷƣܺͿʴܿܲϣھӦҪۺϿǶء
ͭĵٶȾʲôλģ
ͭĵٶͨȵ䵥λÿÿģW/mKȵʱʾλʱڵλϵͨʱλ¶ȲҲ˵ʾϵǿȵԽϵĵԽǿ
ͭԣȵʴԼΪ 400 W/mK ңζ¶ȲΪ 1 ʱͭϵλԼΪ 400 ءˣͭзdzɫĵܣ㷺ӦɢȽȹܵҪЧȵ
400 W/mKٶȵĻ൱ÿСʱٹأ
ȵϴܵٶ˶֮ûֱӵĻϵˣȵֱӻΪٶȡ
Ҫעǣȵʱʾǵλʱڵλϵ䵥λÿÿģW/mKΪÿͨλô䵥λÿƽףW/m^2ٶûֱӵϵתΪÿСʱٹ
Wȵ²ȹϵ
ȵʲ²ȹϵ²ɷȹϵ
ȵʱʾǵλʱڵλϵ뵥λ¶Ȳ֮ıֵͨܶ¶ݶȵıֵͨ£λʱͨϵӣ߲ϳӣͨܶҲӦӣӶ¶ݶȵӡʱϵȵʲ䣬λʱͨϵҲ֮ӣܵĴʻӡ
ˣȵʲ²ȹϵ¶ݶȳȹϵȵԽλ¶ȲµλԽȴٶҲԽ졣ͬʱϵijߴȵʣôλ¶ȲԽСͨܶԽСܴٶҲԽ
W10׳ͭܵһȺòŻһأ
ش㲻Ҳԭ
W10׳ͭܣں1ףֱΪ1ףһ100 òŻһأ
漰ȴ̣Ҫ֪ͭȵʺݣԼܵļ״ܵǾȵģû߽ͨ类ݣǿʹ¹ʽʱ䣺
t = frac{mcDelta T}{pi^2D^2Lk}t=2D2LkmcT
У$m$ ͭܵ$c$ ͭıݣ$Delta T$ ͭ˵¶Ȳ$D$ ǹֱܵ$L$ ǹܵijȣ$k$ ͭȵʡݸݣǿԽ¼㣺
ͭܶ $rho = 8.96 text{ g/cm}^3$ͭܵΪ $m = rho V = rho pi r^2 L = 0.00028 text{ kg}$
ͭı $c = 0.385 text{ J/(g}cdot text{)}$
ͭȵ $k = 401 text{ W/(m}cdot text{K)}$
ֱתΪף$D = 0.01 text{ m}$ $L = 10 text{ m}$
ΪܵǾȵģԿԼܵ˵¶Ȳ $Delta T = 100 text{ }$
Щֵ빫ʽУõ
t = frac{mcDelta T}{pi^2D^2Lk} approx 269 text{ s}t=2D2LkmcT269 s
ˣԼҪ 269 4 Ӻ 29 ʱܰͭܵһˡ