Blog Archive

23 - Question 17 - Carnot engine - Posted by Kambiz Ehsani - 5/5/2018 - Solved

Consider three carnot machines, where first one works between Th and Tl, second one works between Ti and Tc the third one between Th and Tc. Find the relationship between the efficiencies of the three carnot engines (Eff 1, Eff 2 and Eff 3):

Solution:
Efficiency of the Carnot machine is a function of  Tl/Th ;

Efficiency of the First machine = Eff 1 = Tl / Th
Efficiency of the First machine = Eff 2 = Tc / Tl
Efficiency of the First machine = Eff 3 = Tc / Th

Therefore :

Eff 3 = Eff 1 *  Eff 2



22 - Question 16 - Braking Standard Fuel Consumption (BSFC) - Posted by Kambiz Ehsani - 5/5/2018 - Solved

If the thermal efficiency of an engine equals 25% and the heating value of the fuel 36,000 kJ/kg, calculate the Braking Standard Fuel Consumption (BSFC) in kgkW-hr.

Solution:

W = 0.25 * 36,000 = 9,000 kJ/Kg fuel
1 kW - hr = 1 kJ /sec  * 3,600 Sec = 3,600 kJ


Therefore the BSFC = 0.4  kg/kW-hr

21 - Question 15 - The triple point of the water - Posted by Kambiz Ehsani - 5/5/2018 - Solved

The temperature of the objects on a winter night reaches zero degree C. The moisture in the air is relatively high. Explain which one of the options below is the right process for the moisture on the objects phase change?

1) From vapor to solid
2) From vapor to solid to liquid
3) From vapor to liquid
4) From vapor to liquid to solid


Solution:
Because the temperature of the objects on the surface are below the temperature of the triple point of the water the vapor will become solid directly.






Photo source :
https://www.quora.com/What-is-the-meaning-of-triple-point-of-water

20 - Question 14 - The Second Law and Carnot Engine - Posted by Kambiz Ehsani - 5/5/2018 - Solved

Is this possible to build a heat engine that works between 800 and 300 degree K and the heat transfer from the hot source Qh = 500 kJ , Ql = 187.5 kJ and produce 200 kJ? Explain your answer.

Solution:

NO beacuse: the First Law is not met here.

Qh - Ql  must be the W => this becomes 500 - 187.5 which is not equal the 200 given in the assumptions of the problem and based on the First Law this is not possible because the delta of the Q must be equal to the work created on the shaft and in this example it is not the case.

19 - Question 13 - Thermodynamics - Post by Kambiz Ehsani - 5/5/2018 - Solved

Consider a balloon with the initial internal pressure of P1 when the outside pressure is P0. If air is pumped so that the internal balloon pressure becomes P2, Find the work of system on the surrounding.

Solution:
Assuming the air is the ideal gas and neglect the heat transfer. Therefore the Pv = m RT, since the P is not changing, the work will be applied to increase the volume from V1 to V2 therefore the work will be :
1W2 = P0 (V2 -V1)

18 - What is the Carnot Cycle? Post by Kambiz Ehsani - 5/4/2018 - Solved

Per Wikipedia:"The Carnot cycle is a theoretical thermodynamic cycle proposed by French physicist Sadi Carnot in 1824 and expanded upon by others in the 1830s and 1840s. It provides an upper limit on the efficiency that any classical thermodynamic engine can achieve during the conversion of heat into work, or conversely, the efficiency of a refrigeration system in creating a temperature difference (e.g. refrigeration) by the application of work to the system. It is not an actual thermodynamic cycle but is a theoretical construct."

Why is this cycle so important to design engineers? The Carnot cycle is a theoretical cycle that gives the maximum thermal efficiencies when the cycle works between two thermal sources (high and low temperatures). For example if the Rankine cycle is considered for the argument, where it operates between the temperature of the boiler feed water at 40 and Steam temperature at 400 degree C. What is the Carnot efficiency of such cycle?

Solution:

Efficiency = 1- Tl / Th = 1- (278/478) =  41% and we know that the thermal efficiency of the Rankine Cycle doesn't exceed high 30%. So Rankine Cycle is a high ceiling for the performance or efficiency of a real cycle.   

17 - Introduction of a book - Shape and Structure, From Engineering to Nature by Adrian Bejan - 5/4/2018

In this book Dr. Bejan propose a topic that has always been and always will be important. The basic idea that the constrained and purposeful optimizations that engineers perform routinely in the design of thermofluid flow systems can help all of us.

Better sense means a simpler, easier - to - understand, more compact, and general summary of explanations of what we see in nature. Such a summary is called a "Principle or Law".

Dr. Bejan shows that Geometric form (Shape and Structure) springs out of the struggle for better global performance subject to global and local constraints.

The thought that the same objective and constraints principle is also the mechanism that constructs geometry in natural flow systems is called "Constructal theory".

Dr. Bejan says in the preface of the book that "There are three aspects of this idea that I pursue in this book:
  1. To start from principle and to arrive through a mental viewing in the powerful position of predicting geometric forms that appear in nature is to practice theory. The time arrow of theory , from principle to nature, runs against the time arrow of empiricism, which begins with nature - the unexplained observation. Empiricism has been the preferred method in the study of naturally organized systems, from river and lung morphology to turbulent eddies and fractal geometry.
  2. The Second aspect is useful to us as engineers. Engineering is the science of systems and processes with purpose. By identifying the principle that accounts for geometric form in natural flow we improve our pwn vision as designers, as creator. For example, nature impresses us with a multitude of tree-shaped flow: lungs, vascularized tissues, river basins and deltas, lighting. botanical trees, dendritic crystals, nervous systems, street patterns and urban growth, bacterial colonies, transportation, communication and economic networks, etc. Each tree flow connects an infinity of points (volume, or area). This is beautiful example of how, in the end, the theory returns the favor to the field that created it, to engineering .
  3. The third aspect has to do with the role of engineering in society. once a noble and revered science (think of Leonardo da Vinci, Sadi Carnot etc.), engineering is now taken for granted. Everywhere we look, from university campus politics to the noble prize, engineering rank either low or not at all on the ladder of respect. The scientist of all time wondering about our origin. This is why Dr. Bejan believes that engineers are destined to play a role in the quest for a rational basis - a principle - for the generation of geometric form in nature.




16 - Question 12 by Kambiz Ehsani - Fluid Mechanics - 4/30/2018 - Solved

Explain what happens when we squeeze the gardening hose tip while the water is running? explain what is changing. What happens to the pressure? what happen to velocity and why? What happens to the water flow?

Solution:

Flow rate will be less due to the added friction and restriction. Velocity will be added due to less flow rate. From the Euler equation of  p(term) + v(term) + z(term) = cte
We know that z term will be constant therefore when v term increase we would know that delta p will decrease and therefore p of water before exiting the hose will be increased .