A Simple Prediction Model for Higher Heat Value of Biomass
Hongliang Qian,
†,‡,#
Xiaojing Guo,
§,#
Sudong Fan,
⊥
Kiros Hagos,
†
Xiaohua Lu,
†
Chang Liu,*
,†
and
Dechun Huang*
,‡
†
State Key Laboratory of Materials-Oriented Chemical Engineering, Nanjing Tech University, Nanjing, 210009, China
‡
School of Engineering, China Pharmaceutical University, Nanjing, 210009, China
§
Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai, 201800, China
⊥
NANTEX Industry Co., Ltd, Zhenjiang, 212006, China
ABSTRACT: A simple prediction model, based on ultimate analysis of bio-
mass which is leveraged to predict higher heating value (HHV), was proposed
in this paper. In the literature there are two facts offering some bases for the
study. One is that oxygen (O) content is not an accurate value in the calculation
of the reductance degree as well as the heat of combustion per unit of oxygen
consumed of the biomass, and as a result, the determination of HHV turns out
to be inaccurate, too. The other is that the O variable does not contribute to the
overall physical interpretation of the HHV from the perspective of mathematics
(the p-value), and therefore, a modified reductance degree of biomass was pre-
sented, whereas O content was neglected. According to the modified reduc-
tance degree, HHV per gram of oxygen consumed of one biomass was identified
to be nearly a constant. Thus, two theoretical prediction models for the bio
mass with and without sulfate (HHV′ = 873.52(C/3 + H + S/8), HHV″ =
874.08(C/3 + H)) were established. The comparison between mean absolute
error (MAE) of Thornton’s method and 15 recently established empirical correlations shows that the MAE of the two predic-
tion models is the least, which serves as strong evidence for the good HHV predictive capability of the two models, and their
easy-to-operate quality as well. Furthermore, the coefficients of the two models are almost the same value, which indicates that
the S content also has negligible effect on HHV. The final model that we proposed is model 2 (HHV″ = 874.08(C/3 + H)).
1. INTRODUCTION
In a broad sense, the term “biomass” means organic material
generated via a spontaneous or induced biological process. As an
energy source, biomass includes certain types of wood, energy
crops, marine algae, agricultural and silviculture residues, and
certain animal, industrial, and human wastes.
1,2
The theory of
material and energy balances is widely cited in analyzing the
processes associated with solar energy. The utilization of biomass
is frequently required for engineering analysis and design. One of
the most important properties in material and energy balances
is the heating value.
3
The heating value of a biomass fuel can be
figured out experimentally by employing an adiabatic bomb calo-
rimeter which measures the enthalpy change between reactants
and products.
4
The use of bomb calorimeter, though relatively
simple in operation and accurate in calculation, may not always
be accessible to researchers. To circumvent this problem, researchers
together with their respective elemental analyzer, usually make
proximate or ultimate analysis that will provide data, and there-
after work out the heating value via established empirical corre-
lations.
5
Many of the previous attempts were made to correlate the
HHV with data from proximate and ultimate analysis. One of the
earliest and most popular correlations is the Dulong correlation
6
which was first introduced in the late 1800s and based on the data
from the ultimate analysis of coal. Vargas-Moreno
7
reviewed the
mathematical models for predicting the heating value of biomass
materials, and among these models many have relied on the
results of proximate and ultimate analysis and those of structural
analysis or chemical or physical determinations.
In biochemical engineering, the carbon weight fraction in a
dry microbial biomass, the number of equivalents of available
electrons per gram atom carbon (reductance degree) in biomass,
and the heat of reaction per equivalent of available electrons
transferred to oxygen, are all relatively constant.
3
Erickson et al.
8
have capitalized on the average values of these regularities with
considerable success in his analysis of microbial growth and
product formation, which states that the heat of combustion is
directly proportional to the quantity of oxygen consumed in the
combustion process. With Thornton’s method as a groundwork,
Patel
3
presented a method which utilizes the weight fraction
carbon on a dry basis and employs the reductance degree so as to
predict the heat of combustion of renewable resources. In the
field of fires, the heat of combustion per unit of oxygen consumed
is measured for evaluating the rate of heat release of fuel.
Huggett
9
designed a method on the basis of the generalized idea
Special Issue: Proceedings of PPEPPD 2016
Received: June 28, 2016
Accepted: November 3, 2016
Article
pubs.acs.org/jced
© XXXX American Chemical Society A DOI: 10.1021/acs.jced.6b00537
J. Chem. Eng. Data XXXX, XXX, XXX-XXX