{"id":415,"date":"2015-09-01T09:49:05","date_gmt":"2015-09-01T13:49:05","guid":{"rendered":"http:\/\/www.joshuagallaway.com\/?p=415"},"modified":"2015-09-01T09:49:05","modified_gmt":"2015-09-01T13:49:05","slug":"the-direction-of-change","status":"publish","type":"post","link":"http:\/\/www.joshuagallaway.com\/?p=415","title":{"rendered":"The direction of change"},"content":{"rendered":"<p>It&#8217;s been a busy summer, and we&#8217;ve got a few exciting battery-related surprises coming up soon at the CUNY Energy Institute. This week I&#8217;m getting ready for the start of my Transport Phenomena I class at NYU. Transport phenomena is about understanding and describing all physical changes you may find in the world.<\/p>\n<p>Over the course of the year I show the class the following transport equations, which are my favorite parts of the class. Realizing these equations, which are all basically statements of the second law of thermodynamics, have a common origin is the philosophically most <em>fun<\/em> thing about studying transport.<\/p>\n<p>Fourier&#8217;s law states that heat flows down a temperature gradient (with proportionality constant <em>k<\/em>, the thermal conductivity):<\/p>\n<p><a href=\"http:\/\/www.joshuagallaway.com\/wp-content\/uploads\/fouriers-law.png\"><img decoding=\"async\" loading=\"lazy\" class=\"alignnone  wp-image-416 aligncenter\" src=\"http:\/\/www.joshuagallaway.com\/wp-content\/uploads\/fouriers-law.png\" alt=\"fouriers law\" width=\"105\" height=\"41\" \/><\/a><\/p>\n<p>Fick&#8217;s law tells you mass moves from areas of high concentration to low:<\/p>\n<p><a href=\"http:\/\/www.joshuagallaway.com\/wp-content\/uploads\/ficks-law.png\"><img decoding=\"async\" loading=\"lazy\" class=\"alignnone  wp-image-417 aligncenter\" src=\"http:\/\/www.joshuagallaway.com\/wp-content\/uploads\/ficks-law.png\" alt=\"ficks law\" width=\"136\" height=\"42\" \/><\/a><\/p>\n<p>Ohm&#8217;s law states that current moves down a potential gradient (and so electrons move up the gradient due to the dyslexic way <em>current<\/em> is defined):<\/p>\n<p><a href=\"http:\/\/www.joshuagallaway.com\/wp-content\/uploads\/ohms-law.png\"><img decoding=\"async\" loading=\"lazy\" class=\"alignnone  wp-image-418 aligncenter\" src=\"http:\/\/www.joshuagallaway.com\/wp-content\/uploads\/ohms-law.png\" alt=\"ohms law\" width=\"112\" height=\"48\" \/><\/a><\/p>\n<p>And Newton&#8217;s law of viscosity (which is a little more complicated-looking due to the way fluids can change their density) tells you momentum transports from locations of high velocity to low.<\/p>\n<p><a href=\"http:\/\/www.joshuagallaway.com\/wp-content\/uploads\/newtons-law-of-visc.png\"><img decoding=\"async\" loading=\"lazy\" class=\"alignnone  wp-image-419 aligncenter\" src=\"http:\/\/www.joshuagallaway.com\/wp-content\/uploads\/newtons-law-of-visc.png\" alt=\"newtons law of visc\" width=\"352\" height=\"70\" \/><\/a><\/p>\n<p>The negative signs in these equations are the second law of thermodynamics. Those negative signs are a consequence of the fact that the universe tends towards states of higher entropy or higher probability. Of course you can <em>make<\/em> heat flow up a temperature gradient using, for example, an air conditioner. But that requires a machine, which is what you learn in a thermodynamics class. And that&#8217;s what separates &#8220;transport&#8221; from &#8220;thermo&#8221; for a chemical engineering student.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>It&#8217;s been a busy summer, and we&#8217;ve got a few exciting battery-related surprises coming up soon at the CUNY Energy Institute. This week I&#8217;m getting ready for the start of my Transport Phenomena I class at NYU. Transport phenomena is &hellip; <a href=\"http:\/\/www.joshuagallaway.com\/?p=415\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[14,16],"tags":[],"_links":{"self":[{"href":"http:\/\/www.joshuagallaway.com\/index.php?rest_route=\/wp\/v2\/posts\/415"}],"collection":[{"href":"http:\/\/www.joshuagallaway.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.joshuagallaway.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.joshuagallaway.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.joshuagallaway.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=415"}],"version-history":[{"count":2,"href":"http:\/\/www.joshuagallaway.com\/index.php?rest_route=\/wp\/v2\/posts\/415\/revisions"}],"predecessor-version":[{"id":423,"href":"http:\/\/www.joshuagallaway.com\/index.php?rest_route=\/wp\/v2\/posts\/415\/revisions\/423"}],"wp:attachment":[{"href":"http:\/\/www.joshuagallaway.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=415"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.joshuagallaway.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=415"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.joshuagallaway.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=415"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}