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matrenka [14]
4 years ago
13

Mercury flows inside a copper tube 9m long with a 5.1сm inside diameter at an average velocity of 7.0 m/s. The inside surface te

mperature of the tube is kept at 38 C and the mean temperature of the mercury is 66 C. Assuming that the velocity and temperature profiles are fully developed throughout, calculate the rate of heat transfer by convection. Justify any equations you may use.
Engineering
1 answer:
svp [43]4 years ago
6 0

Answer:

rate of heat transfer = 9085708.80 W

Explanation:

Given:

Inside diameter, D = 5.1 cm

                               = 5.1 x 10^{-2} m

Average velocity, V = 7 m/s

Mean temperature, T = (66+38) /2

                                    = 52°C

Therefore kinematic viscosity at 52°C is ν = 0.104 X 10^{-6} m^{2} / s

Prandtl no., Pr = 0.021

We know Renold No. is

Re = \frac{V\times D}{\nu }

Re = \frac{7\times 5.1\times 10^{-2}}{0.104\times 10^{-6}}

     = 3.432 X 10^{6}

Therefore the flow is turbulent.

Since the flow is turbulent and the ratio of L/D is greater than 60 we can use Dittua-Boelter equation.

Nu = 0.023 Re^{0.8}.Pr^{0.3}

     = 0.023 x (3.432 \times10^{6})^{0.8} x (0.021)^{0.3}

     = 1221.52

Since Nu = \frac{h.D}{k}

          h = \frac{k\times Nu}{D}

             = \frac{9.4\times 1221.52}{5.1\times 10^{-2}}

             = 225143.3

Therefore rate of heat transfer, q = h.A(T-T_{\infty }

           q= 225143.3 x 2πrh ( 66-38)

             = 225143.3 X 2π X \frac{5.1\times10^{-2}}{2}\times 9\times 28

              = 9085708.80 W

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<u>Explanation</u>

//Define the interface SimpleList;

public interface SimpleList

{

   public Object get (int index);

   public void set (int index, Object element);

   public void add (int index, Object element);

   public Object remove(int index);

   public int size();

}

SimpleLinkedList.java:

//Define the class SimpleLinkedList that implements the SimpleList.

public class SimpleLinkedList implements SimpleList

{

   //Define the Item class.

   class Item

   {

       Object value;

       Item next;          

       Item (Object setValue, Item setNext)

       {

           value = setValue;

           next = setNext;

       }

   }      

   protected Item start;

   protected int currentSize;      

   //Define the default constructor.

   public SimpleLinkedList()

   {

       currentSize = 0;

       start = null;

   }      

   //Define the parameterized constructor.

   SimpleLinkedList(Object[] values)

   {

       currentSize = 0;          

       //Start the loop and call the add method.

       for(int i = 0; i<values.length;i++)

       {

           add(i, values[i]);

       }

   }      

   //Define the method to return the object

   // at the given index.

   atOverride

   public Object get (int index)

   {

       //Call the getItem() method and return it's value.

       return getItem(index).value;

   }      

   //Define the set() method.

   atOverride

   public void set (int index, Object element)

   {

       if (index < 0 || index >= currentSize)

       {

           return;

       }

       int currentIndex = 0;          

       for (Item current = start; current != null; current = current.next)

       {

           if (currentIndex == index)

           {

               current.value = element;

               break;

           }

           currentIndex++;

       }

   }    

   //Define the getItem() method.

   protected Item getItem(int index)

   {

       if (index < 0 || index >= currentSize)

       {

           return null;

       }      

       int currentIndex = 0;        

       for (Item current = start; current != null; current = current.next)

       {

           if (currentIndex == index)

           {

               return current;

           }

           currentIndex++;

       }

       return null;

   }      

   //Define the add() method.

   atOverride

   public void add (int index, Object toAdd)

   {

       if (index == 0)

       {

           start = new Item (toAdd, start);

           currentSize++;

           return;

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       Item previousItem = getItem(index - 1);        

       if(previousItem == null)

       {

           return;

       }          

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       previousItem.next = newItem;

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   atOverride

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       return currentSize;

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   atOverride

   public Object remove (int index) {

       // TODO Auto-generated method stub

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//Define the YourSimpleLinkedList class.

public class YourSimpleLinkedList extends SimpleLinkedList

{

   //Define the default constructor.s

   public YourSimpleLinkedList()

   {

       super();

   }      

   //Define the parameterized constructor.

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   {

       super(values);

   }

   //Define the method to remove an index.

   at Override

   public Object remove(int index)

   {

       //Return null if the index is out of range.

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       {

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       {

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           //Set the start Item.

           start = start.next;

           

           //Update the size of the linked list and return

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       int currentIndex = 0;

       Item current = start;

       Item prev = start;        

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       while (current != null)

       {

           //Check the index value.

           if (currentIndex == index)

           {

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               Object temp = current.value;                

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               prev.next = current.next;                  

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               currentSize--;

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       return null;

   }

}

Main.java:

public class Main

{

   public static void main(String[] args)

   {

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       Object [] values = {10, 20, 30, 40};          

       //Create an object of the YourSimpleLinkedList class.

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   }  

}

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