2 ways to do I know are :-
Use DailyRollingFileAppender ...
<appender name="roll" class="org.apache.log4j.DailyRollingFileAppender">
<param name="File" value="application.log" />
<param name="DatePattern" value=".yyyy-MM-dd" />
<layout class="org.apache.log4j.PatternLayout">
<param name="ConversionPattern"
value="%d{yyyy-MMM-dd HH:mm:ss,SSS} [%t] %c %x%n %-5p %m%n"/>
</layout>
</appender>
second,
including apache-log4j-extras
log4j.appender.LOGFILE=org.apache.log4j.rolling.RollingFileAppender
log4j.appender.LOGFILE.RollingPolicy=org.apache.log4j.rolling.TimeBasedRollingPolicy
log4j.appender.LOGFILE.RollingPolicy.FileNamePattern=/logs/application_%d{ddMMyyyy}_moduleName.log