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Консультация № 176480
04.02.2010, 12:31
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Уважаемые эксперты помогите решить задачу. Тема термодинамика.
Определите количество тепла:
а) через стальную чистую стенку [λ1=58 Вт/M˚C] толщиной δ1.
б) от дымовых газов через стальную стенку, покрытую со стороны воды слоем накипи [λ2=2,2 Вт /M˚C] толщиной δ2. Температура дымовых
газов tr , температура кипящей воды tв , коэффициент теплоотдачи
от газов к стенке [α1=124 Вт /M²˚C] и от стенки к воде α2=1480 Вт /M²˚C.
Дано: δ1 = 5мм; tr = 800 ˚C; tв = 200˚C. Заранее благодарю, Юрий.
Определите количество тепла:
а) через стальную чистую стенку [λ1=58 Вт/M˚C] толщиной δ1.
б) от дымовых газов через стальную стенку, покрытую со стороны воды слоем накипи [λ2=2,2 Вт /M˚C] толщиной δ2. Температура дымовых
газов tr , температура кипящей воды tв , коэффициент теплоотдачи
от газов к стенке [α1=124 Вт /M²˚C] и от стенки к воде α2=1480 Вт /M²˚C.
Дано: δ1 = 5мм; tr = 800 ˚C; tв = 200˚C. Заранее благодарю, Юрий.
Обсуждение
04.02.2010, 21:18
общий
Gabriel24:
Здравствуйте!
Мне кажется, что Вы не полностью привели условие задачи. Не хватает начала.
А поискать в задачниках по Вашему предмету решение подобной задачи не пробовали? Ведь здесь на Портале нет специалистов по теплотехнике.
С уважением.
Здравствуйте!
Мне кажется, что Вы не полностью привели условие задачи. Не хватает начала.
А поискать в задачниках по Вашему предмету решение подобной задачи не пробовали? Ведь здесь на Портале нет специалистов по теплотехнике.
С уважением.
Об авторе:
Facta loquuntur.
Facta loquuntur.
08.02.2010, 14:48
общий
это ответ
Здравствуйте, Gabriel24.
Пусть поток теплоты через стенку J [Вт/м2]
Тогда разность температур между газами и сталью [$916$]t1=J/α1
между поверхностями стальной стенки [$916$]t2=J*δ1/λ1
между сталью и водой [$916$]t3=J/α2
Итого разность температур [$916$]t=[$916$]t1+[$916$]t2+[$916$]t3=J*(1/α1+δ1/λ1+1/α2)=tг-tв
Получаем J=(tг-tв)/(1/α1+δ1/λ1+1/α2)=
=600˚C/(1/124Вт/м²˚C+0.005м/58Вт/м˚C+1/1480Вт/м²˚C)=68*103 Вт/м²=68 кВт/м²
Во втором случае в выражение в знаменателе добавляется теплопроводность накипи, точнее обратная ей величина δ1/λ1.
В принципе задача схожа с определением тока через несколько последовательных сопротивлений, для которых дана электропроводность.
Пусть поток теплоты через стенку J [Вт/м2]
Тогда разность температур между газами и сталью [$916$]t1=J/α1
между поверхностями стальной стенки [$916$]t2=J*δ1/λ1
между сталью и водой [$916$]t3=J/α2
Итого разность температур [$916$]t=[$916$]t1+[$916$]t2+[$916$]t3=J*(1/α1+δ1/λ1+1/α2)=tг-tв
Получаем J=(tг-tв)/(1/α1+δ1/λ1+1/α2)=
=600˚C/(1/124Вт/м²˚C+0.005м/58Вт/м˚C+1/1480Вт/м²˚C)=68*103 Вт/м²=68 кВт/м²
Во втором случае в выражение в знаменателе добавляется теплопроводность накипи, точнее обратная ей величина δ1/λ1.
В принципе задача схожа с определением тока через несколько последовательных сопротивлений, для которых дана электропроводность.
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