Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Towards analytical solutions of the alloy solidification problem - MaRDI portal

Deprecated: Use of MediaWiki\Skin\SkinTemplate::injectLegacyMenusIntoPersonalTools was deprecated in Please make sure Skin option menus contains `user-menu` (and possibly `notifications`, `user-interface-preferences`, `user-page`) 1.46. [Called from MediaWiki\Skin\SkinTemplate::getPortletsTemplateData in /var/www/html/w/includes/Skin/SkinTemplate.php at line 691] in /var/www/html/w/includes/Debug/MWDebug.php on line 372

Deprecated: Use of MediaWiki\Skin\BaseTemplate::getPersonalTools was deprecated in 1.46 Call $this->getSkin()->getPersonalToolsForMakeListItem instead (T422975). [Called from Skins\Chameleon\Components\NavbarHorizontal\PersonalTools::getHtml in /var/www/html/w/skins/chameleon/src/Components/NavbarHorizontal/PersonalTools.php at line 66] in /var/www/html/w/includes/Debug/MWDebug.php on line 372

Deprecated: Use of QuickTemplate::(get/html/text/haveData) with parameter `personal_urls` was deprecated in MediaWiki Use content_navigation instead. [Called from MediaWiki\Skin\QuickTemplate::get in /var/www/html/w/includes/Skin/QuickTemplate.php at line 131] in /var/www/html/w/includes/Debug/MWDebug.php on line 372

Towards analytical solutions of the alloy solidification problem

From MaRDI portal
Publication:6469486

arXivmath-ph/0507046MaRDI QIDQ6469486

Author name not available (Why is that?)

Publication date: 19 July 2005

Abstract: In this paper, an analytical solution of alloy solidification problem is presented. We develop a special method to obtain an exact analytical solution for mushy zone problem. The main key of this method is a requirement that thermal diffusivity in the mushy zone to be constant. From such condition we obtain an ordinary differential equation for liquid fraction function. Thus the method can be examine as a model to achive analytical solution of some unrealistic problems. An example of solutions is presented: the noneutectic titanium-based alloy solidification. We provide the comparison of numerical simulation results with obtained exact solutions. It shown that very simple apparent capacity-based numerical scheme is provided a good agreement with exact positions of the solidus and liquidus isoterms, and with temperature profiles also. Finally, some extensions of the method are outlined.












This page was built for publication: Towards analytical solutions of the alloy solidification problem

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6469486)

Retrieved from "https://mardi.schubotz.org/w/index.php?title=Publication:6469486&oldid=36167865"
Powered by MediaWiki