Hi. Try something like:

var nodes = Model.Children.Where("Name = @0", name);

ok thanks I used as u said...

now my code is like .... it shows error as Error loading MacroEngine script (file: CompetitionDropDown.cshtml) when page is run. no error on saving razor file.

@using umbraco.BusinessLogic;
@using umbraco.MacroEngines;
@inherits umbraco.MacroEngines.DynamicNode
@inherits umbraco.MacroEngines.DynamicNodeContext
@{
string compval="";

   <select id="ddlcompetition">
            @{
            int i=1;
            foreach (var item in @Model.Children.OrderBy("CreateDate desc"))
            { if(i==1)
              {
                @: <option value="@item.Name" selected="selected">@item.Name</option>
                compval=@item.Name;
              }
              else
              {
                @: <option value="@item.Name">@item.Name</option>
              }
             i++;
            }
            
            }
   </select>
 

   var node = Model.Children.Where("Name = @0", compval);
  
   if(@node.Count == 1)
   {
 
     dynamic link = Library.MediaById(@node.competitionThumbImage);
     dynamic link2 = Library.MediaById(@node.competitionImage);
   }

   
}

Hi. Is this what you want?

@using umbraco.BusinessLogic;
@using umbraco.MacroEngines;
@inherits umbraco.MacroEngines.DynamicNode
@inherits umbraco.MacroEngines.DynamicNodeContext

@{
  var children = Model.Children.OrderBy("CreateDate desc");
  var first = children.First();
  var other = children.Skip(1);
}

<select id="ddlcompetition">
  <option value="@first.Name" selected="selected">
    @first.Name
  </option>
  @foreach(var item in other) {
     <option value="@item.Name">
        @item.Name
     </option>                          
  }
</select>

@{
  var node = children.Where("Name = @0", first.Name).FirstOrDefault();
  if(node != null) {
    var link = Library.MediaById(n.competitionThumbImage);
    var link2 = Library.MediaById(n.competitionImage);
  }
}

yes... I wanted this.. but now I need to compare in where condition by ignoring case in below statement... means toLower() to be used for Name property value and first.Name value.

varnode =children.Where("Name = @0", first.Name).FirstOrDefault();

Be aware that .where has some performance problems: our.umbraco.org/.../28479-Razor-menu-performance-(v4)

Jeroen

Changing

...Where("Name == @0", first.Name)...

to 

...Where("Name.ToLower() == @0", first.Name.ToLower())...

should work, I suppose.

(Not sure absolutely - there're limitations on using methods in dynamic LINQ, but as far as I remember for strings it's possible).

thank you ... it works... but now I need one more help... my razor code is as follows...

@using umbraco.BusinessLogic;
@using umbraco.MacroEngines;
@inherits umbraco.MacroEngines.DynamicNode
@inherits umbraco.MacroEngines.DynamicNodeContext
@{
    //get selected options from Request.PathInfo

    
    string comp = (Request.QueryString["comp"]);
    
    string baseurl = Request.Url.GetLeftPart(UriPartial.Path);
}
<script type="text/javascript">
    String.prototype.LTrim = function()
      {
      return this.replace(/(^\s*)/g, "");
      }
                          
    $(document).ready(function () {

        $('#ddlcompetition').val('@comp');
        
        $("#ddlcompetition").change(function () { onSelectChange('@baseurl'); });


    });

    function onSelectChange(href) {

        var comp = $("#ddlcompetition option:selected").text().LTrim();
        $(window.location).attr('href', href + "?" + "comp=" + comp.toLowerCase());

        
    }
</script>
@{
  var children = Model.Children.OrderBy("CreateDate desc");
  var first = children.First();
  var other = children.Skip(1);
}

<select id="ddlcompetition" class="right">
  <option value="@first.Name" selected="selected">
    @first.Name
  </option>
  @foreach(var item in other) 
 {
     <option value="@item.Name">
        @item.Name
     </option>                          
  }
</select>
<br />
<div class="clear"></div>

... in above code you can see that I am looking for Query string parameter named 'comp'  and then setting value of 'select' input to querystring parameter value. But problem is that while passing parameter I convert it to lower case but dropdown contains value with uper case and lower case letters. So, I need to set value by comparing to_lower(parameter value ) and to_lower (select input value) ... how can I do that in script above?