Elements of LiquidLevel System Mathematical Model of Dynamic

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Elements of Liquid-Level System Mathematical Model of Dynamic Systems

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

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

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 ������

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

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 �������� capacitance ��� resistance ����������� 7

Mathematical Model of Liquid-Level System ��� Laplace transform �������������� (transfer function)��� 8

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 ��� qi ����������� (transfer function)��� 9

Mathematical Model of Liquid-Level System ����������� q 0 ��� h ����������� (transfer function)��� 10

Mathematical Model of Liquid-Level System ����������� q 0 ��� h ����������� (transfer function)��� 10

Mathematical Model of Liquid-Level System with Interaction Example Problems �������������� 11

Mathematical Model of Liquid-Level System with Interaction Example Problems �������������� 11

Elements of Liquid-Level System Example Problems �������� capacitance ��� resistance ����� 2� 12

Elements of Liquid-Level System Example Problems �������� capacitance ��� resistance ����� 2� 12

Mathematical Model of Liquid-Level System with Interaction Example Problems ����������� (transfer function)��� 13

Mathematical Model of Liquid-Level System with Interaction Example Problems ����������� (transfer function)��� 13