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by: Mr. Orpha Wiza


Mr. Orpha Wiza
OK State
GPA 3.9

Glenn Brown

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Glenn Brown
Class Notes
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This 0 page Class Notes was uploaded by Mr. Orpha Wiza on Sunday November 1, 2015. The Class Notes belongs to BAE 3013 at Oklahoma State University taught by Glenn Brown in Fall. Since its upload, it has received 14 views. For similar materials see /class/232833/bae-3013-oklahoma-state-university in Biosystem Engineering at Oklahoma State University.

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Date Created: 11/01/15
om m University Ewsm Emmm BAE 30 13 Lecture 3 Today 0 Differential control volume analysis of heat transport BAE 3m3 mum 3 1 0143mm umquot WWW Q volumetric heat sources Wm3 Sources include biological amp chemical reactions radiation and eXtemal heat not considered in q n and e Heat energy in storage U Volume pcPTAxAyAz For change in heat energy storage replace T with AT pcPATAxAyAz BAE 3m3 mum 3 a 7 qxuixAx 7 qxuix 7 exuiHAx 7 Ax Ax Okblrnma Sm Umvusny Emsystnms Ergnenrg Control Volume 1 D Word equation rate heat in rate heat heat change in out source thermal energy stored ommmu my ham 5mm Put it all together qx39Urex quot xAyAzAt 7 qxquotexquot HAX AyAzAt QAxAyAZAt pcPAxAyAZAT Divide by AxAyAzAt and rearrange exu AT x 7 Qpcpm Notice how the sign has been selected BAE 3m3Lecm3 3 Oklabm m amem mqu Emmaemg Heat uX in qurexu Conduction Convection Total heat in qxquot exquot leyAzAt Total heat out 1 quotexquot lxAx AyAzAt Heat Sources QAxAyAzAt EAElullLecmn 3 3 Oklabm m amem mqu Emmaemg LetAxampAt 0 0T 7 0x 0t ex Li ax Q pop Let qr be de ned by Fourier s Law 0T u iki qX 0x Let 9 be de ned by exquot upcPT EAElullLecmn 3 5 om m mummy 0 0T 0 dk j wwr With k CF and 0 constant pop 0x2 k aZT 0uT Q g at 0x pop Conduction Convection Source an 3m3 mum 3 om m mummy Question What type of equation is the following k BZT 0uT Q 7g pop 0x2 Ordinary or partial Order Linear or nonlinear an 3m3 mum 3 7 0x pop at 0 QPcpa mqu Emmre mqu Emmre Okblrnma Sm amean 1 D Steady State awmmm we a 0 at 2 LL33M L 0 pop asc a c pop 1 D Steady state No Sources Q 0 deT d dxz Pcp all 0 an 3m3Lecm3 z Okblrnma Sm amenity Emsystnms Ergnenrg Question What order are each of the terms on the left hand side LHS k BZT 0uT Q 7 pop 0x2 0x pop an 3m3Lecm3 u Okbimrm m mummy mqu Emmaemg In 3 D transient with sources k air air air auT avT 0M 7 777z 7 777 pop ax ay 02 0x ay 02 L pop at 23mm 3 Okbimrm m mummy mqu Emmaemg Question How many initial andor boundary conditions do we need to solve this equation k BZT 0uT Q far pop 0x2 7 0x pop at 23mm 3 om m University mqu 2mg Question How many initial andor boundary conditions do we need to solve the 1D Steady State equation L whgw pop dxz dx pop an Illllgcmxel 13 Okblrnma mg Umvusny Emsystnms Ergnenrg Question How many initial and or boundary conditions do we need to solve the following equations 1D Steady State no convection u 0 2 01752 0 pop dx pop 1D Steady State no conduction k 0 MTLQ 0 dx pop an IIULecml u Oklabm m mmmcy mqu Emmaemg Question How many initial andor boundary conditions do we need to solve the following 3D transient equation k air air air auT avT 0M 7 777z 7 777 OCP 0x By 02 ax 0y 02 pop at m 3D13Lecmn 3 IS


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