{"id":183,"date":"2018-10-30T15:01:42","date_gmt":"2018-10-30T15:01:42","guid":{"rendered":"http:\/\/wp.walterstafford.com\/?page_id=183"},"modified":"2022-01-29T16:23:55","modified_gmt":"2022-01-29T16:23:55","slug":"sedimentation-velocity","status":"publish","type":"page","link":"http:\/\/wp.walterstafford.com\/?page_id=183","title":{"rendered":"Sedimentation Velocity"},"content":{"rendered":"\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t
\n\t\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t

The Lamm equation<\/strong> (O. Lamm, 1928) describes the time evolution of the sedimenting boundary:<\/p>

$$\\left(\\frac{\\partial c}{\\partial t} \\right)_r =-\\frac{\\partial}{r\\partial r}\\left[ \\omega^2r^2s(c)c – rD(c) \\left( \\frac{\\partial c}{\\partial r} \\right)_t \\right]$$<\/p>

The sedimentation coefficient, s, is defined operationally as: $$s \\equiv \\frac{1}{\\omega^2 r}\\frac{dr}{dt}$$<\/p>

\u00a0<\/p>

\u00a0<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

The Lamm equation (O. Lamm, 1928) describes the time evolution of the sedimenting boundary: $$left(frac{partial c}{partial t} right)_r =-frac{partial}{rpartial r}left[ omega^2r^2s(c)c – rD(c) left( frac{partial c}{partial r} right)_t right]$$ The sedimentation coefficient, s, is defined operationally as: $$s equiv frac{1}{omega^2 r}frac{dr}{dt}$$ \u00a0 \u00a0<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ocean_post_layout":"","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"0","ocean_second_sidebar":"0","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"0","ocean_custom_header_template":"0","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"0","ocean_menu_typo_font_family":"0","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"default","ocean_disable_heading":"default","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"0","footnotes":""},"class_list":["post-183","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"http:\/\/wp.walterstafford.com\/index.php?rest_route=\/wp\/v2\/pages\/183","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/wp.walterstafford.com\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/wp.walterstafford.com\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/wp.walterstafford.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/wp.walterstafford.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=183"}],"version-history":[{"count":7,"href":"http:\/\/wp.walterstafford.com\/index.php?rest_route=\/wp\/v2\/pages\/183\/revisions"}],"predecessor-version":[{"id":225,"href":"http:\/\/wp.walterstafford.com\/index.php?rest_route=\/wp\/v2\/pages\/183\/revisions\/225"}],"wp:attachment":[{"href":"http:\/\/wp.walterstafford.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=183"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}