模型

public class Consult
{
    public string Name { get; set; }
    public int Times { get; set; }
    public int Rank { get; set; }
}

数据

var consults = new List<Consult>()
{
    new Consult() { Name = "张三", Times = 1 },
    new Consult() { Name = "李四", Times = 1 },
    new Consult() { Name = "王五", Times = 2 },
    new Consult() { Name = "赵六", Times = 3 },
    new Consult() { Name = "小明", Times = 0 },
    new Consult() { Name = "小红", Times = 0 }
};

排名

var result = consults.OrderByDescending(d => d.Times)
    .GroupBy(d => d.Times)
    .SelectMany((g, i) => g.Select(e => new Consult()
    {
        Name = e.Name,
        Times = e.Times,
        Rank = i + 1
    })).ToList();