Floating layer formation, foaming, and microbial community structure change in full-scale biogas plant due to disruption of mixing and substrate overloading

Table 1 The calculation of the apparent viscosity η_Sand the shear rate $\dot{γ}$ [17],[18]

Measuring system	Equation	Constant
Double gab measuring system	$τ = \frac{1 + δ^{2}}{(δ^{2} \cdot R_{3}^{2} + R_{2}^{2})} \cdot \frac{M}{4000 \cdot πL C_{L}}$	C_L = 1.10
		δ = 1.0245
		R_MKi = 20.25 mm
	$\dot{γ} = ω \cdot \frac{1 + δ^{2}}{δ^{2} - 1}$	R_MKi = 20.25 mm
		R_MKa = 21.00 mm
		L = 78.7 mm
Cylinder measuring system	$τ = \frac{1 + δ^{2}}{2000 \cdot δ^{2}} \cdot \frac{M}{2 π L \cdot R_{i}^{2} \cdot C_{L}}$	C_L = 1.10
		δ = 1.0848
	$\dot{γ} = ω \cdot \frac{1 + δ^{2}}{δ^{2} - 1}$	R_MKi = 13.33
	$\dot{γ} = ω \cdot \frac{1 + δ^{2}}{δ^{2} - 1}$	L = 40.003 mm
Ball measuring cell	τ = C_ss·M	$C_{SS} = 15.0 \frac{Pa}{mNm}$
	τ = C_ss·M	$C_{SR} = 0.427 \frac{min}{s}$
	$\dot{γ} = C_{SR} \cdot n$	$C_{SR} = 0.427 \frac{min}{s}$
	$\dot{γ} = C_{SR} \cdot n$	d_K= 12.0 mm
Paddle mixer [17]	$Ne = \frac{P}{p \cdot n^{3} \cdot d^{5}} = \frac{C_{lam}}{Re} C_{turb}$	C_MO = 10.94
		C_lam = 189.6
		C_turb = 9.4
	$\dot{γ} = C_{MO} \cdot n$	C_turb = 9.4
		d_R= 30 mm
		d_B= 143 mm
Pipe viscosimeter [18]	$τ_{w} = \frac{d \cdot △ p}{4 \cdot L}$	L_pipe = 2,500 mm
	$τ_{w} = \frac{d \cdot △ p}{4 \cdot L}$	d_pipe = 43.2
	${(\frac{dw}{dr})}_{w} = \frac{3 n' + 1}{4 n'} \cdot \frac{8 \cdot w_{m}}{d}$
	$n' = \frac{dln (\frac{d \cdot △ p}{4 \cdot L})}{dln \frac{(8 \cdot w_{m})}{d}}$

ISSN: 2192-0567