Elements of Liquid-Level System Mathematical Model of Dynamic Systems
Elements of Liquid-Level System Resistance of Liquid-Level System The steady-state flow rate ������ K - coefficient, m 2/sec H - steady-state head, m Q=KH 2
Elements of Liquid-Level System ������ Laminar flow , ����������� Turbulent , ������� steady-state flow rate � ������ K - coefficient, m 2. 5 /sec Eq. 1 H - steady-state head, m The resistance Rt, for turbulent flow 3
Elements of Liquid-Level System ������ 1 ���� The resistance Rt, for turbulent flow ������ resistance Rt ������ turbulent flow ��������������� ������� 4
Elements of Liquid-Level System Capacitance of Liquid-Level System 5
Mathematical Model of Liquid-Level System �������� capacitance ��� resistance ����������� 7
Mathematical Model of Liquid-Level System ��� Laplace transform �������������� (transfer function)��� 8
Mathematical Model of Liquid-Level System ����������� q 0 ��� qi ����������� (transfer function)��� 9
Mathematical Model of Liquid-Level System ����������� q 0 ��� h ����������� (transfer function)��� 10
Mathematical Model of Liquid-Level System with Interaction Example Problems �������������� 11
Elements of Liquid-Level System Example Problems �������� capacitance ��� resistance ����� 2� 12
Mathematical Model of Liquid-Level System with Interaction Example Problems ����������� (transfer function)��� 13