# GATE Papers >> Mechanical >> 2018 >> Question No 160

Question No. 160

For sand-casting a steel rectangular plate with dimensions 80 mm × 120 mm × 20 mm, a cylindrical riser has to be designed. The height of the riser is equal to its diameter. The total solidification time for the casting is 2 minutes. In Chvorinov’s law for the estimation of the total solidification time, exponent is to be taken as 2. For a solidification time of 3 minutes in the riser, the diameter (in mm) of the riser is __________ (correct to two decimal places).

##### Answer : 42.00 to 52.00

Solution of Question No 160 of GATE 2018 Mechanical Paper

Using Chvorinov's law of casting

$\begin{array}{l}{\mathrm t}_\mathrm{casting}=\mathrm K\left(\frac{\mathrm V}{\mathrm A}\right)_\mathrm{casting}^2\\2=\mathrm k\left[\frac{180\times120\times20}{2\left\{\left(80\times120\right)+\left(80\times20\right)+\left(120\times20\right)\right\}}\right]^2\\\mathrm K=0.040138\;\min/\mathrm{mm}^2\end{array}$

Using the value of K in riser we get

$\begin{array}{l}{\mathrm t}_\mathrm{riser}=\mathrm K\left(\frac{\mathrm V}{\mathrm A}\right)_\mathrm{riser}^2\\\left(\frac{\mathrm V}{\mathrm A}\right)_\mathrm{riser}^2=\frac3{0.040138}\\{\left(\frac{\mathrm V}{\mathrm A}\right)}_\mathrm{riser}=8.645\end{array}$

Now, ${\left(\frac{\mathrm V}{\mathrm A}\right)}_\mathrm{riser}=\frac{{\displaystyle\frac{\mathrm\pi}4}\mathrm d^2\mathrm h}{2\times{\displaystyle\frac{\mathrm\pi}4}\mathrm d^2+\mathrm{πdh}}=\frac{{\displaystyle\frac{\mathrm\pi}4}\mathrm d^3}{{\displaystyle\frac{\mathrm\pi}2}\mathrm d^2+\mathrm{πd}^2}$

$\begin{array}{l}\left[\mathrm{When}\;\mathrm h=\mathrm d\right]\\{\left(\frac{\mathrm V}{\mathrm A}\right)}_\mathrm{riser}=\frac{\mathrm{πd}^3}4\times\frac2{3\mathrm{πd}^2}=\frac{\mathrm d}6\\\therefore\frac{\mathrm d}6=8.645\\\mathrm d=51.87\;\mathrm{mm}\end{array}$

aeTWZ8 http://pills2sale.com/ levitra nizagara

Posted on  18/10/2020 14:07:05  by  dobsonz
g58ttO http://xnxx.in.net/ xnxx videos

Posted on  12/12/2020 22:21:50  by  johnan
w5iWST http://xnxx.in.net/ xnxx videos

Posted on  12/12/2020 22:24:34  by  johnan
WTeTXp http://waldorfdollshop.us/ waldorf doll

Posted on  09/01/2021 12:50:05  by  johnanz
a0i7Xx https://beeg.x.fc2.com/

Posted on  26/01/2021 13:23:14  by  markus

Posted on  27/01/2021 12:24:01  by  markus
https://xvideoss.web.fc2.com/

Posted on  03/08/2021 14:52:13  by  johnanz

Posted on  01/11/2020 20:12:49  by  johnanx
Thankfulness to my father who stated to me onn the topic of this weblog, thhis website is in fact awesome. качек homepage кленбутерол

Posted on  15/11/2020 20:45:20  by  Shay

Posted on  04/12/2020 01:06:07  by  dobson
ZDbSaP https://writemyessayforme.web.fc2.com/#writemyessay

Posted on  15/12/2020 07:02:41  by  dobson

Posted on  09/01/2021 11:37:11  by  dobson
UyLLz8 https://beeg.x.fc2.com/

Posted on  26/01/2021 16:49:33  by  markus
wKkDHu https://writemyessayforme.web.fc2.com/

Posted on  13/12/2020 06:02:46  by  dobson

Posted on  09/01/2021 08:35:37  by  dobson
WZpARY http://nexus.cct.lsu.edu:8000/nexus_uis/930

Posted on  17/01/2021 09:50:06  by  johnanz

Posted on  27/01/2021 13:57:18  by  markus
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 14:44:12  by  johnanz
Punk not dead http://xnxxrating.online pornmd The toughest question to McSweeny came from Senator MariaCantwell, a Washington Democrat, who asked about thecommission's work in fighting manipulation of fuel prices.Cantwell asked McSweeny how big an issue it was for her.

Posted on  12/08/2021 01:15:32  by  Daren
A book of First Class stamps http://porntuberating.online keandra The proposal includes better coordination of the sales of mobile spectrum by EU countries and veto power by the Commission. It would allow operators to charge more for carrying traffic at higher speeds.

Posted on  12/08/2021 01:15:32  by  Elbert
I've just started at http://tubeadvisor.online 4tube Some McKesson shareholders have mounted a challenge to thecurrent board over complaints about excessive executivecompensation and the company's unwillingness to split the rolesof chief executive and chairman, both of which are held by JohnHammergren.

Posted on  12/08/2021 01:15:33  by  Jackson
It's funny goodluck http://porntubehub.online thisav As The News first reported in August of 2012, their client, Melky Cabrera, tried to dodge a 50-game drug suspension by claiming a legal product had caused him to test positive for synthetic testosterone. That claim, however, quickly fell apart after MLB investigators learned that Cabrera had created a fictitious website and a nonexistent product designed to prove he inadvertently used a banned substance.

Posted on  12/08/2021 01:15:33  by  Marvin
How long are you planning to stay here? http://tubearchive.online voyeurweb NEW YORK/ROME, July 9 (Reuters) - Ratings agency Standard &Poor's cut Italy's sovereign credit rating on Tuesday to BBBfrom BBB-plus and left its outlook on negative, citing concernsabout prospects for an economy stuck in its worst recessionsince World War Two.

Posted on  12/08/2021 01:15:34  by  Royce

Posted on  04/12/2020 01:45:57  by  dobson
W6YOyx https://writemyessayforme.web.fc2.com/

Posted on  13/12/2020 05:16:17  by  dobson
RTbnMv http://waldorfdollshop.us/ waldorf doll

Posted on  09/01/2021 15:56:19  by  johnanz
XJBjhz https://xnxxx.web.fc2.com/ xnxx

Posted on  29/06/2021 07:49:21  by  Merziuziy
write my essays writemypaper.online

Posted on  22/07/2021 22:28:08  by  johnansog