Using Leaflet Time Slider to animate radar data from a WMS

HTML

<script src="//cdn.leafletjs.com/leaflet/v0.7.7/leaflet.js"></script>
<link rel="stylesheet" href="//cdn.leafletjs.com/leaflet/v0.7.7/leaflet.css">
<script src="//rawgit.com/dwilhelm89/LeafletSlider/master/dist/leaflet.SliderControl.min.js"></script>
<div id="map"></div>

CSS

html,
body,
#map {
  height: 100%;
  width: 100%;
  padding: 0px;
  margin: 0px;
}

JavaScript

/////////////////////////////////////////////////////////////////////////////////////////////
//setting up the map//
/////////////////////////////////////////////////////////////////////////////////////////////
var map = L.map('map').setView([39.8, -98.5], 6);
ATTR = '&copy; <a href="http://openstreetmap.org">OpenStreetMap</a> contributors, ' +
  '<a href="http://creativecommons.org/licenses/by-sa/2.0/">CC-BY-SA</a> | ' +
  '&copy; <a href="http://cartodb.com/attributions">CartoDB</a>';
CDB_URL = 'http://{s}.basemaps.cartocdn.com/dark_all/{z}/{x}/{y}.png';
L.tileLayer(CDB_URL, {
  attribution: ATTR
}).addTo(map);

/////////////////////////////////////////////////////////////////////////////////////////////
//adding data from WMS//
/////////////////////////////////////////////////////////////////////////////////////////////

// the time property specified here is used to label the slider
var radTime = new Date();
var radar_current = L.tileLayer.wms("http://mesonet.agron.iastate.edu/cgi-bin/wms/nexrad/n0q.cgi", {
  layers: 'nexrad-n0q-900913',
  format: 'image/png',
  transparent: true,
  attribution: "Weather data © 2016 IEM Nexrad",
  time: radTime.toLocaleString()
});

radTime.setMinutes(radTime.getMinutes() - 10);
var radar_10min = L.tileLayer.wms("http://mesonet.agron.iastate.edu/cgi-bin/wms/nexrad/n0q.cgi", {
  layers: 'nexrad-n0q-900913-m10m',
  format: 'image/png',
  transparent: true,
  attribution: "Weather data © 2016 IEM Nexrad",
  time: radTime.toLocaleString()
});

radTime.setMinutes(radTime.getMinutes() - 10);
var radar_20min = L.tileLayer.wms("http://mesonet.agron.iastate.edu/cgi-bin/wms/nexrad/n0q.cgi", {
  layers: 'nexrad-n0q-900913-m20m',
  format: 'image/png',
  transparent: true,
  attribution: "Weather data © 2016 IEM Nexrad",
  time: radTime.toLocaleString()
});

radTime.setMinutes(radTime.getMinutes() - 10);
var radar_30min = L.tileLayer.wms("http://mesonet.agron.iastate.edu/cgi-bin/wms/nexrad/n0q.cgi", {
  layers: 'nexrad-n0q-900913-m30m',
...