topic: lumped integral Differential, formulation
Very important: Following answer is completely wrong, do
not repeat wrong answer
https://www.answers.com/homework-help/que ... -q98306633
- This Problem Is For Course Lumped Integral Differential Topic Lumped Integral Differential Formulation Very Importa 1 (98.98 KiB) Viewed 15 times
- This Problem Is For Course Lumped Integral Differential Topic Lumped Integral Differential Formulation Very Importa 2 (55.71 KiB) Viewed 15 times
- This Problem Is For Course Lumped Integral Differential Topic Lumped Integral Differential Formulation Very Importa 3 (106.94 KiB) Viewed 15 times
- This Problem Is For Course Lumped Integral Differential Topic Lumped Integral Differential Formulation Very Importa 4 (95.45 KiB) Viewed 15 times
the core of Pool Yeactor is made of cylinder fuel elements, each CamPaused of uraniumrod of radius Rand Stainless Steel Cladding of negligible thinkness (Fig2-B4) the are reactor has the Suddenly take generated in uranium rots as U/21- (£1² where is the internal energy generation at the center Line the temperture of the coolant in held constant at To. the heat Transfer coefficient is large. formulate the problem toke formulated to under metad attention* Differentional formulation. Scanned with CamScanner
PROBLEMS |Coolant Steel cladding Scanned with CamScanner Uranium rod FIG. 2-54
EXAMPLE EXAMPLE жа Ттептройж 2.10.Aflat Plate of thinkness 21 having the uniform intial Temperature Tois Plunged suddenly into a both at constant Temperature Too (Fige-53) the heat Transfer coefficient is h, the density heat capacity, and the conducient of The Plate are Scandk, respectively formulate the Problem to be formulated to under method. attentions * DifferenTiAL formulation * 3 с k To Initial Diffrential 2-10 Aflat Plate of Thickness dx 24 having a uniform initial Temperature to is Plunged Sudden into a bathat x+dx hr Constant temperature To. Formulate the problem. ASSume: The conductive heat Transfer to the ambient negligibe K -21 19x X Scanned with CamScanner Temperate th
Diffrential Fiat Ten Tion JE Int-отрит+genz ace 2A-9 A ₂ DE It 2qdx Az dx - Vx+x dt @ E=mct=Sdvc Tz (Adx) CT ² qx 2-K ST >> Ez mc T z Sdv c T z AdX) (F 2 x dn Az SA FX CIT - ax - 3x (-K²T) ₂ Sc dr. dT 2 मा Governing equation : ax² Initial canduction, t₂o B.C1 (Boundary conduction); T20 Bc 2 (Boundary conduction) XzL →> <arzh (T_T) x²-L->Kar 2 0 Əx Scanned with CamScanner هم 3²7. &c of агт 2 ax² k dt JT x dt T = T (2) 9x²-KdT →Ka
Aronymous answered this Amewu:- 2 mode The cove Beau of a pod each compoded initially energy de lube generated 1- · 2ut at the above 28 % [-*) The temperature " of Coulant content To Lut Fa cylindrical Ay Atem of heat generation J ST qv dr By integrating above Exte F Entegrating above es alition 1-3.1² 1c, log on the 7 condition ustry boundary Ond At Yo, 10 * = * (- ()²] 2% - 9 eqratition of heat (2)²-()*² 1-) [57²-2²] 53 NOW O Given that 3) Similarly theneu Y+Y₂-T₁ Ore →) Boundary condition t₂ = 10+ from T-7₂² + (x₂²-40-27²)→ @ 7/1 (Heat cylindrical elementy AV, ²-90- 251.rah (30-10) To Ambient temperature To-To 12 1/ TL Tsis + 2 r. ² 2h 꼼 Sub ir cq we get T-10 (1₂²% -97²) - 7,² 4k th We thenee helptur of Lylindrical fuel element 14 urantum Jacks kamfer of ry, eq 6 TA To Y₁². n Tas = To +9 V₁2 ah r2 heat generated bfn O Woring Method completely Converted at for surface of wlindur) Scanned with CamScanner