Filter HTML Table using Html BeginForm on Button Click in ASP.Net MVC

How To Retrieve data using model with parameter action result

using html begin form method and input type object

i want to get data table based parameter action result using html begin form using name

        public ActionResult Search(DepartementModel model,string search)
        {
            model = new DepartementModel();

            search = model.Departement = search;

            List<Departement> list = new List<Departement>();

            list = db.Departements.Where(m => m.departement.Contains(search)).ToList();

            if (list == null)
            {
                Session["UpdateMessage"] = "Data not found";
            }

            else
            {
                return Json(list, JsonRequestBehavior.AllowGet);
            }

            return View(model);
        }

                                @using (Html.BeginForm("Search", "API", FormMethod.Get))
                                {
                                    <div class="col-md-3">
                                        <div class="input-group">
                                            <input type="text" class="form-control" name="search" id="search" placeholder="Search...">
                                            <span class="input-group-btn">
                                                <button class="btn btn-default" type="submit" id="Submit">
                                                    <img id="txtSearch_B0Img" src="/Content/images/magnifier.png" alt="...">
                                                </button>
                                            </span>
                                        </div>
                                    </div>
                                }

<script>
    $(document).ready(function () {
        $("#Submit").click(function () {
            var search = $("#search").val();
            if (search === ''){
                alert("Data still empty");
                return false;
            }
            return true;
        });
    });
</script>