This is an arduino sketch to control a 12v solenoid in a timed loop. It will pressurize a chamber at a specific rate and then power the valve venting the chamber.

solenoid_timer01.sketch

/*
  valve_60
  Turns on an 12v selenoid on, then off, repeatedly.
 */
 
// Pin 13 has an LED connected on most Arduino boards.
// give it a name:
const int valve = 13;
const int led = 9;
const int vent_time_min = 10; //10 sec
const int pressure_time_min = 60*10; //10 min

int counter = 0;

int switch_val = 0;

int modulo_led = 0;
int modulo_valve = 0;
int toggle_time_valve = millis();
int toggle_time_led = millis();
int valve_state = 0;


int min_ms = 1000*60;

// the setup routine runs once when you press reset:
void setup() {                
  // initialize the digital pin as an output.
  Serial.begin(9600);
  pinMode(valve, OUTPUT);
  digitalWrite(valve, LOW);
  switch_val = 0;
  toggle_time_valve = millis();
  pinMode(led, OUTPUT);  
}

// the loop routine runs over and over again forever:
void loop() {
  int millis_time = millis();
  modulo_led = millis_time % 1000;
  modulo_valve = millis_time % vent_time_min;
  
  
  //there is a timer against millis
  //if the valve is in an off position and the pressure timer has expired then vent
  // and set the timer to count to the vent time
  if (counter > pressure_time_min && switch_val==0) { 
      /*Serial.print("setting to valve to HIGH at:");  
      Serial.print(millis_time);
      Serial.print(" switch:");
      Serial.println(switch_val);*/
      digitalWrite(valve, HIGH);   // turn on the valve
      switch_val = 1;
      counter = 0;     
  } 
  //else if the valve is on and the vent timer has expired then close the valve 
  // and set the timer to count up to the pressure time
  else if (counter>vent_time_min && switch_val==1) {
      /*Serial.print("setting to valve to LOW at:");  
      Serial.print(millis_time);
      Serial.print(" switch:");
      Serial.println(switch_val); */    
      
      digitalWrite(valve, LOW);   // turn off the valve 
      switch_val = 0;
      counter = 0;
  }
  
  

  //this manages a timer led that uses the same approach
  if (modulo_led == 0 && LOW == digitalRead(led)) { 
      digitalWrite(led, HIGH);   // turn on the valve
      toggle_time_led = millis_time+1000;
      /*Serial.print("LED Time:");
      Serial.print(millis_time);   
      Serial.print(" counter:"); 
      Serial.println(counter); */
      counter+=1;      
      
  } else if (millis_time > toggle_time_led && HIGH == digitalRead(led)) {
      digitalWrite(led, LOW);   // turn on the valve
      counter+=1;
  }

}

how about the connection thru Microcontroller and the materials to be used