TRUE OR FALSE: 1.A linear differential equation of the higher order is one which contains the dependent variable and all its derivatives to the first degree only. 2.The surface temperature of a cooling object changes at a rate proportional to the difference between the surface and ambient temperatures.
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- Give True or False for the following: 1.In liquids and gases, heat transmission is caused by conduction and convection 2.The surface geometry is the important factor in convection heat transfer 3. The heat transfer by conduction from heated surface to the adjacent layer of fluid, 4. The heat transfer is increased in the fin when &> 1 5.The unit of the thermal diffusivity is m²/s 6. Temperature change between the materials interfaces is attributed to the thermal contact resistance 7. A material that has a low heat capacity will have a large thermal diffusivity. 8. Heat conduction flowing from one side to other depends directly on thickness 9.Fin efficiency is the ratio of the fin heat dissipation with that of no fin 10.The critical radius is represented the ratio of the convicted heat transfer to the thermal conductivity1 of 12 > 0/1 View Policies Show Attempt History Current Attempt in Progress X The sum of the second derivatives is zero for some values of a and b. The partial differential equation for two- dimensional steady-state conduction assuming no volumetric thermal energy generation and constant properties is + = 0 dx? dy? The following temperature distribution is valid under the stated conditions. T = ax + by True. False. True if a = -b. O It is not possible to determine whether the profile is valid. IIA higher-order differential equation given as y" + p(x)y' g (x)y = O is a homogenous equation, even if p(x) = 0. A higher-order differential equation given as y" + p(x)y' + q(x)y = 0 is also a homogenous equation, even if g(x) = 0. O Only first statement is true. O Only second statement is true. O Both first and second statements are true. O Both first and second statements are false.
- a. True/False Given 1-D steady-state conduction through a wall with uniform heat generation, the heat transfer (Q. W) is constant throughout the wall. TRUE FALSE b. True/False Consider convection heat transfer acting on an object that is in contact with a fluid at temperature T-. Ifh (the convection coefficient) gets very large. it tends to drive the surface temperature of that object to the fluid temperature T-. TRUE FALSE c. Short answer You need to calculate the temperature at the free end (tip) of a long fin. The boundary condītion you should NOT use is: Circle one! Convective tip Adiabatic tip Infinite finDo not actually solve the problem numerically or algebraically, just pick the one equation and define the relevant knowns and single unknown. Don’t forget to include direction when called for by a vector variable 12) The air conditioner removes 2.7 kJ of heat from inside a house with 450 m3 of air in it. At a typical air density of 1.3 kg/m3 that means 585 kg of air. If the specific heat of air is 1.01 kJ/(kg oC), by how much would this cool the house if no heat got in through the rest of the house during that time?Newtons laws of cooling proposes that the rate of change of temperature is proportional to the temperature difference to the ambient (room) temperature. And can be modelled using the equation: dT/dt = -k (T-Ta)It can also be written as dT/T-Ta = -k dtWhere:T = Temperature of materialTa = Ambient (room) temperaturek = A cooling constanta) integrate both sides of the equation and show that the temperature difference is given by:(T-Ta) = CoE^-kt(Co is a constant for this problem)B) calculate Co if the initial temperature is 70 degrees C and Ta = 20 degrees C?
- two kinds of bacteria are found in a sample of tainted food. it is found that the population size of type 1, N1 and of type 2, N2 satisfy the equation dn/dt=-0.3/N1 dn/dt=0.4/N2 N1 is equal to 1500 at time equal to zero, while N2 is equal to 30 at time equal to zero. then the population sizes are equal N1 = N2 at what time? (4 decimal places)Help me1. The general form of linear second-order differential equation can be written in the form: و بار / كلية الهندسة Q4)/ grap dy q(x)y = r(x) d'y +p(x) dx dy b. dx - F(x)y = F(x) x2 dy dx - xy = C. d. r2 d?y dx2 -f(x)y = F(x) 2431)(5-1) 3 (3-21)2 a. (221 -91i) / 169 b. (21 + 52i)/ 13 c. (-90+220i)/169 d. (-7+17i)/ 13 2. Simplify: الحدار المك المراغة 3. If the roots of second order differential equation is complex conjugate, then the gene contain: a. sinusoidal functions and exponentials b. constant and two exponentials c. two constants and two exponentials d. two constants and one exponential 5 4. The order and degree of the differential: 3(3 - + 4y = sinx* are: d²y a. First-order, First-degree- b. First-order, second-degree Second -order, First -degree d. Second -order, second-degree dx2 lo - 2i tisi. 8- 12i 5. The particular solution of (D² + 4)y = cos 2x is equal to: a. sin 2x b. cos 2x 13+159 C. 4 cos 2x d. 4 sin 2x 5-12 lo Best wishes الامتحانية د. مازن ياسین عبود رئيس القسم بن فاضل…
- The process variable of a system which varies with respect to time is called dynamic. True or FalseAn open system is often referred to as control volume, which is a properly selected region in space in which mass and energy can flow across the boundaries as figure 1.2. The boundary of a open thermodynamic system is called the control surface Across the Boundaries E = Yes F 0 = Yes w =Yes Control surface ass YES W CONTROL VOLUME energy YES Figure 1.2. A cooling/heating radiator is an example of such a system – give two more examples of such a system.The variables do not vary with respect to time is called as а. Static characteristics O b. Dynamic characteristics O c. Random Error d. Systematic Error