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Blackboard 58 minutes, 50 seconds. Browse My Computer Question Completion Status: QUESTION 2 8 points Save Answer Two tanks with cross sectional areas Ay and A2 respectively, are connected together in the following way: W1 h1 W3 R + W2 R2 Save and Submit Save All Answers Close Window Click Save and Submit to save and submit. Click Save All Answers to save all answers.

Answer 1

Solution Given → W2 I 13 Tanko 2 Tank @ Develop a model for The Two Tonk system, fist of all we have to apply mass balance - over the tank we get. Step 1- at at | Input- output = Accumulation - For Tank Input =w, output = Wz-W₂ if Wzo wa Accumulation = dinit = dlache) A dhi now from equation 0 we get -W, +W; -W, = Aidhi - © as we know that we = h, whz - so from equation ② and ③ we get -wy + Wi-Chithe) - Anielin - الى CU 2 K2 Ce

how K Step! simillarly fg Tank ② Input - output Aleu mulation - 5 For Tank ® Input = W2 output=0 Accumulation - dlz - d (Azhe) - Andh 1. dt de at from eauation ③ we get W2-0= Adh - now ta So W2 = hohe R2 so that equation ② gives K now from equation © W W - now at steady state equation and @ gives Ку

now equation ④ -① and @- we get chantages thing - An die - 6, ans) - they ] An ope when noches- hi and he has= The ① so equation and ② gives - The two chronyating - Trans form of equation now 1 Taking and 8 the replace we get 7 КА et son - Thres - Ashy - - 1969 +7,161 - (his army) = Ays This) - - cauation for tank @ and and Đ are the model ecuation Tank ® Answer

6 Perform a degree of freedom analysis. as we know that degree of freedom de find as ID of = No of variables - no of equations State variable wi= manipulated variable Total number of variable=3 No Oy equation = Q so DOF = V-E Do:f = 3-7 10.0.1 = 1 so for this Two tank freedom is two. system degree of Answer