{"id":28718,"date":"2013-05-21T17:51:39","date_gmt":"2013-05-21T12:21:39","guid":{"rendered":"http:\/\/www.kopykitab.com\/blog\/?p=28718"},"modified":"2013-05-21T17:51:39","modified_gmt":"2013-05-21T12:21:39","slug":"conservation-of-mass-equation","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/conservation-of-mass-equation\/","title":{"rendered":"Conservation of Mass Equation"},"content":{"rendered":"<h1 style=\"text-align: center;\">Conservation of Mass Equation<\/h1>\n<p><span style=\"font-size: x-large;\"><b>Conservation of Mass<\/b><\/span><\/p>\n<p><b>Compressible fluid<\/b><\/p>\n<table width=\"535\" border=\"0\">\n<tbody>\n<tr>\n<td width=\"57\">Vector format:<\/td>\n<td width=\"4\"><center><img alt=\"\" src=\"http:\/\/eml.ou.edu\/equation\/VertLine.gif\" width=\"1\" height=\"40\" align=\"BOTTOM\" border=\"0\"><\/p>\n<p><\/center><\/td>\n<td width=\"87%\"><img alt=\"\" src=\"http:\/\/eml.ou.edu\/equation\/FLUIDS\/MASS\/C_MASS1.GIF\" width=\"132\" height=\"46\" align=\"MIDDLE\" border=\"0\"><\/td>\n<\/tr>\n<tr>\n<td width=\"57\">Cartesian tensor format:<\/td>\n<td width=\"4\"><center><img alt=\"\" src=\"http:\/\/eml.ou.edu\/equation\/VertLine.gif\" width=\"1\" height=\"40\" align=\"BOTTOM\" border=\"0\"><\/p>\n<p><\/center><\/td>\n<td width=\"87%\"><img alt=\"\" src=\"http:\/\/eml.ou.edu\/equation\/FLUIDS\/MASS\/C_MASS2.GIF\" width=\"147\" height=\"50\" align=\"MIDDLE\" border=\"0\"><\/td>\n<\/tr>\n<tr>\n<td width=\"57\">Cartesian coordinates:<\/td>\n<td width=\"4\"><center><img alt=\"\" src=\"http:\/\/eml.ou.edu\/equation\/VertLine.gif\" width=\"1\" height=\"40\" align=\"BOTTOM\" border=\"0\"><\/p>\n<p><\/center><\/td>\n<td width=\"87%\"><img alt=\"\" src=\"http:\/\/eml.ou.edu\/equation\/FLUIDS\/MASS\/C_MASS3.GIF\" width=\"263\" height=\"49\" align=\"MIDDLE\" border=\"0\"><\/td>\n<\/tr>\n<tr>\n<td width=\"57\">Cylindrical coordinates:<\/td>\n<td width=\"4\"><center><img alt=\"\" src=\"http:\/\/eml.ou.edu\/equation\/VertLine.gif\" width=\"1\" height=\"40\" align=\"BOTTOM\" border=\"0\"><\/p>\n<p><\/center><\/td>\n<td width=\"87%\"><img alt=\"\" src=\"http:\/\/eml.ou.edu\/equation\/FLUIDS\/MASS\/C_MASS4.GIF\" width=\"313\" height=\"48\" align=\"MIDDLE\" border=\"0\"><\/td>\n<\/tr>\n<tr>\n<td valign=\"MIDDLE\" width=\"57\">Spherical coordinates:<\/td>\n<td width=\"4\"><center><img alt=\"\" src=\"http:\/\/eml.ou.edu\/equation\/VertLine.gif\" width=\"1\" height=\"40\" align=\"BOTTOM\" border=\"0\"><\/p>\n<p><\/center><\/td>\n<td width=\"87%\"><img alt=\"\" src=\"http:\/\/eml.ou.edu\/equation\/FLUIDS\/MASS\/C_MASS5.GIF\" width=\"450\" height=\"49\" align=\"MIDDLE\" border=\"0\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><b>Incompressible fluid<\/b><\/p>\n<table width=\"455\" border=\"0\">\n<tbody>\n<tr>\n<td valign=\"MIDDLE\" width=\"12%\">Vector format:<\/td>\n<td width=\"1%\"><center><img alt=\"\" src=\"http:\/\/eml.ou.edu\/equation\/VertLine.gif\" width=\"1\" height=\"40\" align=\"BOTTOM\" border=\"0\"><\/p>\n<p><\/center><\/td>\n<td width=\"87%\"><img alt=\"\" src=\"http:\/\/eml.ou.edu\/equation\/FLUIDS\/MASS\/I_MASS1.GIF\" width=\"78\" height=\"24\" align=\"MIDDLE\" border=\"0\"><\/td>\n<\/tr>\n<tr>\n<td valign=\"MIDDLE\" width=\"12%\">Cartesian tensor format:<\/td>\n<td width=\"1%\"><center><img alt=\"\" src=\"http:\/\/eml.ou.edu\/equation\/VertLine.gif\" width=\"1\" height=\"40\" align=\"BOTTOM\" border=\"0\"><\/p>\n<p><\/center><\/td>\n<td width=\"87%\"><img alt=\"\" src=\"http:\/\/eml.ou.edu\/equation\/FLUIDS\/MASS\/I_MASS2.GIF\" width=\"74\" height=\"51\" align=\"MIDDLE\" border=\"0\"><\/td>\n<\/tr>\n<tr>\n<td valign=\"MIDDLE\" width=\"12%\">Cartesian coordinates:<\/td>\n<td width=\"1%\"><center><img alt=\"\" src=\"http:\/\/eml.ou.edu\/equation\/VertLine.gif\" width=\"1\" height=\"40\" align=\"BOTTOM\" border=\"0\"><\/p>\n<p><\/center><\/td>\n<td width=\"87%\"><img alt=\"\" src=\"http:\/\/eml.ou.edu\/equation\/FLUIDS\/MASS\/I_MASS3.GIF\" width=\"138\" height=\"47\" align=\"MIDDLE\" border=\"0\"><\/td>\n<\/tr>\n<tr>\n<td valign=\"MIDDLE\" width=\"12%\">Cylindrical coordinates:<\/td>\n<td width=\"1%\"><center><img alt=\"\" src=\"http:\/\/eml.ou.edu\/equation\/VertLine.gif\" width=\"1\" height=\"40\" align=\"BOTTOM\" border=\"0\"><\/p>\n<p><\/center><\/td>\n<td width=\"87%\"><img alt=\"\" src=\"http:\/\/eml.ou.edu\/equation\/FLUIDS\/MASS\/I_MASS4.GIF\" width=\"209\" height=\"47\" align=\"MIDDLE\" border=\"0\"><\/td>\n<\/tr>\n<tr>\n<td valign=\"MIDDLE\" width=\"12%\">Spherical coordinates:<\/td>\n<td width=\"1%\"><center><img alt=\"\" src=\"http:\/\/eml.ou.edu\/equation\/VertLine.gif\" width=\"1\" height=\"40\" align=\"BOTTOM\" border=\"0\"><\/p>\n<p><\/center><\/td>\n<td width=\"87%\"><img alt=\"\" src=\"http:\/\/eml.ou.edu\/equation\/FLUIDS\/MASS\/I_MASS5.GIF\" width=\"365\" height=\"51\" align=\"MIDDLE\" border=\"0\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Conservation of Mass Equation Conservation of Mass Compressible fluid Vector format: Cartesian tensor format: Cartesian coordinates: Cylindrical coordinates: Spherical coordinates: Incompressible fluid Vector format: Cartesian tensor format: Cartesian coordinates: Cylindrical coordinates: Spherical coordinates:<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[4773],"tags":[],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/28718"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=28718"}],"version-history":[{"count":0,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/28718\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=28718"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=28718"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=28718"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}