GATE Papers >> Mechanical >> 2016 >> Question No 231

Question No. 231 Mechanical | GATE 2016
Equal amounts of a liquid metal at the same temperature are poured into three moulds made of steel, copper and aluminum. The shape of the cavity is a cylinder with 15 mm diameter. The size of the moulds are such that the outside temperature of the moulds do not increase appreciably beyond the atmospheric temperature during solidification. The sequence of solidification in the mould from the fastest to slowest is
 
(Thermal conductivities of steel, copper and aluminum are 60.5, 401 and 237 W/m-K, respectively. Specific heats of steel, copper and aluminum are 434, 385 and 903 J/kg-K, respectively. Densities of steel, copper and aluminum are 7854, 8933 and 2700 kg/m3, respectively.)

Answer : (C) Copper - Aluminum - Steel


Solution of Question No 231 of GATE 2016 Mechanical Paper

Thermal diffusivity of any material represents heat storage ability compare to heat transfer.

$ \mathrm\alpha=\frac{\mathrm k}{{\mathrm{ρc}}_\mathrm p}=\frac{\mathrm{Conductivity}}{\mathrm{Volumetric}\;\mathrm{heat}\;\mathrm{capacity}} $ 

Higher the value of thermal diffusivity less time heat is stored in the material

$ \begin{array}{l}{\mathrm\alpha}_\mathrm{steel}=\frac{{\mathrm k}_\mathrm S}{{\mathrm\rho}_\mathrm S{\mathrm c}_{\mathrm P\;\mathrm S}}=\frac{60.5}{7854\times434}\\{\mathrm\alpha}_\mathrm{steel}=1.774\times10^{-5}\;\frac{\mathrm m^2}{\mathrm s}\\{\mathrm\alpha}_\mathrm{copper}=\frac{{\mathrm k}_\mathrm{Cu}}{{\mathrm\rho}_\mathrm{cu}{\mathrm C}_{\mathrm P\;\mathrm{cu}}}=\frac{701}{8933\times385}=1.165\times10^{-4}\;\frac{\mathrm m^2}{\mathrm s}\\{\mathrm\alpha}_\mathrm{Al}=\frac{{\mathrm k}_\mathrm{Al}}{{\mathrm\rho}_\mathrm{Al}{\mathrm C}_{\mathrm P\;\mathrm{Al}}}=\frac{237}{2700\times903}=9.72\times10^{-5}\;\frac{\displaystyle\mathrm m^2}{\displaystyle\mathrm s}\\{\mathrm\alpha}_\mathrm{cu}>{\mathrm\alpha}_\mathrm{Al}>{\mathrm\alpha}_\mathrm s\end{array} $

Hence,

Solidification sequence from fastest to slowest Copper $ \rightarrow $ Aluminium $ \rightarrow $ Steel

Comments
Ot1Snx http://pills2sale.com/ levitra nizagara

Posted on  18/10/2020 19:44:45  by  dobsonz
ffnk7C https://writemyessayforme.web.fc2.com/#writemyessay

Posted on  15/12/2020 05:16:54  by  dobson
QuPJ7o http://waldorfdollshop.us/ waldorf doll

Posted on  09/01/2021 13:12:45  by  johnanz
DVTBSi https://xnxxx.web.fc2.com/ xnxx

Posted on  29/06/2021 08:06:22  by  Merziuziy
I'm self-employed http://porntubereview.online porn300 "It's not a matter of 'if', it's a matter of 'when', and Ibelieve that 'when' is now," Shaheen said. "That's thecontrarian bet that we are taking."($1 = 100.6350 Pakistani rupees) (Editing by Raju Gopalakrishnan)

Posted on  12/08/2021 03:00:49  by  Jamison
Can you put it on the scales, please? http://tubearchive.online ampland Obama faces two critical deadlines. The federal government will be forced to shut down on Tuesday if a spending measure is not approved, and will run out of money to pay its bills on October 17 unless the debt ceiling is raised.

Posted on  12/08/2021 03:00:50  by  Marlon
I'd like to cancel this standing order http://porntubereview.online egotastic The photos are a far cry from the formal photographs released of Prince William a month after his birth in 1982 in which he was alert and wearing a long, laced gown. The pictures with his mother, the late Princess Diana, and father Prince Charles were taken by his great-uncle, photographer Lord Snowden.

Posted on  12/08/2021 03:00:50  by  Johnathon
We need someone with experience http://xnxxlist.online xtube Mary Schapiro, who chaired the SEC at the time of Martens'hiring and is now at the Promontory Financial Group consultingfirm, said Martens had "this extraordinary ability to, in a verycogent, concise, logical way, pull all the information togetherthat was necessary for us to make a decision."

Posted on  12/08/2021 03:00:51  by  Rudolph
perfect design thanks http://porntuberating.online fuq "All of the past issues related to Countrywide are masking avery good, vibrant and attractive retail banking and credit cardbusiness," said Joel Conn, president of Lakeshore Capital LLC inBirmingham, Alabama. "The issues will eventually go away.Today's earnings appear to make that case."

Posted on  12/08/2021 03:00:52  by  Jack
u0KhWq http://pills2sale.com/ viagra cialis buy

Posted on  01/11/2020 20:03:54  by  johnanx
9a4x0j https://www.quora.com/What-the-top-SEO-keywords-for-essay-you-know/answer/Alan-Smith-1772 write my essay

Posted on  03/12/2020 22:56:16  by  dobson
eDebRn https://writemyessayforme.web.fc2.com/

Posted on  13/12/2020 04:17:02  by  dobson
GrjeTu http://nexus.cct.lsu.edu:8000/nexus_uis/930

Posted on  17/01/2021 10:18:29  by  johnanz
QFGwBQ https://beeg.x.fc2.com/

Posted on  26/01/2021 13:49:49  by  markus
write my essays writemypaper.online

Posted on  22/07/2021 22:42:36  by  johnansog
https://beeg.x.fc2.com/sitemap1.html https://beeg.x.fc2.com/sitemap2.html https://xnxxx.web.fc2.com/sitemap1.html https://xnxxx.web.fc2.com/sitemap2.html https://xvideoss.web.fc2.com/sitemap1.html https://xvideoss.web.fc2.com/sitemap2.html

Posted on  03/08/2021 14:57:46  by  johnanz
OUxgQW http://xnxx.in.net/ xnxx videos

Posted on  12/12/2020 22:58:48  by  johnan
lsHinb https://writemyessayforme.web.fc2.com/octavio-paz-essay-day-of-the-dead.html

Posted on  09/01/2021 08:59:19  by  dobson
uolzCY https://buyzudena.web.fc2.com/

Posted on  27/01/2021 12:49:19  by  markus
https://xvideoss.web.fc2.com/

Posted on  03/08/2021 15:06:00  by  johnanz
Leave a comment